tomfreak
Answered

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whats the gcf of 50,40
whats the gcf of 14,56,63

Sagot :

briannajohnson6897
For 50 and 40 the GCF is 10
For 14,56,63 the GCF is 7
Hope this helps!
Would really appreciate it if given brainleist, thanks!
sqdancefan

9514 1404 393

Answer:

  • 10
  • 7

Step-by-step explanation:

The GCF can be no larger than the difference between the numbers. That would be the first value you want to check to see if it is a factor of the numbers.

GCF(40, 50)

The difference is 10, which is a factor of both 40 and 50.

  GCF(40, 50) = 10

__

GCF(14, 56, 63)

You can figure the GCF pairwise, as GCF(14, 56) = 14; then GCF(14, 63) = 7. Or, you can look at the smallest difference between any pair of numbers. Here, that is 63 -56 = 7, which is a factor of all three numbers.

  GCF(14, 56, 63) = 7

_____

Additional comment

Euclid's algorithm has you compute the remainder from division of the largest by the smallest. When that remainder is non-zero, it replaces the largest, and you repeat. When the remainder is zero, the smallest is the GCF.

For example, let's look at the GCF of 14 and 63.

  63/14 = 4 r 7

  14/7 = 2 r 0 . . . . . 7 is the divisor, so is the greatest common factor

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