The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.
56 divides into all the multiples of 56, which are infinite. They start with this pattern: 56, 112, 168, 224, 280, 336, 392 . . .
56
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1 divides into 121 and 42.
The divisor is the number that divides
Because 7 divides 56 evenly, 56 is the LCM of 7 and 56.
56 divides into all the multiples of 56, which are infinite. They start with this pattern: 56, 112, 168, 224, 280, 336, 392 . . .
All of these: 1, 2, 4, 7, 8, 14, 28, 56.
The LCM would be 4536 - because 56 divides exactly into it 81 times !
32,768
2 56 4 28 8 14
1, 2, 4, 7, 8, 14, 16, 28, 56, 112.
7 - 35 (5 x 7), 56 (8 x 7), 84 (12 x 7)
56
since 14 = 14 x 1 and 56 = 14 x 4 the answer is 14, since it divides evenly into both and clearly nothing larger will.There is a clever algorithm that can help you work this out in the general case:GCD(14, 56) = GCD(14, 56 - 14) = GCD(14, 42)This step (subtract the smaller from the larger) relies on the fact that any number that divides both 14 and 56 also divides 56 - 14.Repeat this:GCD(14, 42) = GCD(14, 42 - 14) = GCD(14, 28)GCD(14, 28) = GCD(14, 28 - 14) = GCD(14, 14)which is clearly 14.This is called Euclid's Algorithm.
The greatest common factor is the highest number that divides exactly into two or more numbers. 56: 1, 2, 4, 7, 8, 14, 28, 56 77: 1, 7, 11, 77 The GCF for 56 and 77 is 7.
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