Question

Find the greatest number that will divide 264 & 336 exactly leaving 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 x 3 x 3 x 3 x 3

So the factors are 2 x 2 x 3 x 3 = 36

So highest common factor will be 36.

Answer 2

264‐12=252

336‐12=324

find the common factors using prime factorization method

252=2×2×3×3×7

324=2×2×3×3×3×3

now common factors are =2×2×3×3=36

answer is 36

Thank u