As can be seen, this method can be fairly tedious, and is far from ideal. Prime Factorization Method There are several ways to find the greatest common factor of numbers. The most efficient method you use depends on how many numbers you have, how large they are and what you will do with the result. Factoring The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ 2. Like the 30°-60°-90° triangle, knowing one side length allows you to determine the lengths of the other sides of a 45°-45°-90° triangle. The common factors of 20, 50 and 120 are 1, 2, 5 and 10. (Include only the factors common to all three numbers.)

A0:A1:A2:A3:A4:A5:A6:A7:A8:A9:AA:AB:AC:AD:AE:AF:B0:B1:B2:B3:B4:B5:B6:B7:B8:B9:BA:BB:BC:BD:BE:BF:C0:C1:C2:C3:C4:C5:C6:C7:C8:C9:CA:CB:CC:CD:CE:CF:D0:D1:D2:D3:D4:D5:D6:D7:D8:D9:DA:DB:DC:DD:DE:DF:E0:E1:E2:E3:E4:E5:E6:E7:E8:E9:EA:EB:EC:ED:EE:EF:F0:F1:F2:F3:F4:F5:F6:F7:F8:F9:FA:FB:FC:FD:FE:FF Furey, Edward " Greatest Common Factor Calculator" at https://www.calculatorsoup.com/calculators/math/gcf.php from CalculatorSoup, The 30°-60°-90° refers to the angle measurements in degrees of this type of special right triangle. In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3:2. Thus, in this type of triangle, if the length of one side and the side's corresponding angle is known, the length of the other sides can be determined using the above ratio. For example, given that the side corresponding to the 60° angle is 5, let a be the length of the side corresponding to the 30° angle, b be the length of the 60° side, and c be the length of the 90° side.: Prime Factors Calculator. List the prime factors that are common to each of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. Multiply these together to get theA8:93:52 SHANGHAI ZHONGMI COMMUNICATION TECHNOLOGY CO.,LTD - SHANGHAI ZHONGMI COMMUNICATION TECHNOLOGY CO.,LTD C4:E3:9F GUANGDONG OPPO MOBILE TELECOMMUNICATIONS CORP.,LTD - GUANGDONG OPPO MOBILE TELECOMMUNICATIONS CORP.,LTD E0 Layon international Electronic & Telecom Co.,Ltd - Layon international Electronic & Telecom Co.,Ltd A third viable method for finding the LCM of some given integers is using the greatest common divisor. This is also frequently referred to as the greatest common factor (GCF), among other names. Refer to the link for details on how to determine the greatest common divisor. Given LCM(a, b), the procedure for finding the LCM using GCF is to divide the product of the numbers a and b by their GCF, i.e. (a × b)/GCF(a,b). When trying to determine the LCM of more than two numbers, for example LCM(a, b, c) find the LCM of a and b where the result will be q. Then find the LCM of c and q. The result will be the LCM of all three numbers. Using the previous example: EX:

GCF calculator shown above. But if you need to do the factorization by hand it will be a lot of work.B8:4D:EE Hisense broadband multimedia technology Co.,Ltd - Hisense broadband multimedia technology Co.,Ltd D8:1E:DD GUANGDONG OPPO MOBILE TELECOMMUNICATIONS CORP.,LTD - GUANGDONG OPPO MOBILE TELECOMMUNICATIONS CORP.,LTD A right triangle is a type of triangle that has one angle that measures 90°. Right triangles, and the relationships between their sides and angles, are the basis of trigonometry.

You will see that as numbers get larger the prime factorization method may be easier than straight factoring. Example: Find the GCF (18, 27) If all three sides of a right triangle have lengths that are integers, it is known as a Pythagorean triangle. In a triangle of this type, the lengths of the three sides are collectively known as a Pythagorean triple. Examples include: 3, 4, 5; 5, 12, 13; 8, 15, 17, etc. A more systematic way to find the LCM of some given integers is to use prime factorization. Prime factorization involves breaking down each of the numbers being compared into its product of prime numbers. The LCM is then determined by multiplying the highest power of each prime number together. Note that computing the LCM this way, while more efficient than using the "brute force" method, is still limited to smaller numbers. Refer to the example below for clarification on how to use prime factorization to determine the LCM: EX: Therefore, the greatest common factor of 120, 50 and 20 is 10. Example: Find the GCF (182664, 154875, 137688) or Repeat the process subtracting the smaller number from the result until the result is smaller than the original small number.

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