Question

find the greatest number that will divide 264 and 336 and leave a remainder 12 in each case

Answer 1

Answer:

36

Step-by-step explanation:

Given

Find the greatest number that will divide 264 & 336 exactly leaving a remainder 12 in each case?

ANSWER

So we need to find the greatest number. So

264 12 252

336 12 324 -

Now to find the highest common factor.

By prime factorization we get the factors for

252 = 2 x 2 x 3 x 3 x 7

324 = 2 x 2 x3x3x3x3

So the factors are 2 x 2 x 3 x 3 = 36 So highest common factor will be 36.