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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The number that goes into both 24 and 56 is their greatest common divisor (GCD). The GCD of 24 and 56 is 8, as it is the largest number that divides both without leaving a remainder. Other common divisors include 1, 2, and 4, but 8 is the highest.
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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