Question

Find the greatest number that will divide 3528 and 6552

Answer 1

Answer:

Step-by-step explanation:

3528

2³×3²×7²

6552

2³×3²×7×13

as 2³×3²×7 = 504

3528/6552

2³×3²×7²÷2³×3²×7×13

2³×3²×7²÷2³×3²/2³×3²×7×13÷2³×3²×7=7/13

As we recheck the result we get

7÷13 =0.54

Answer 2

Answer:

So the Greatest Number they are divisible by is 504

Step-by-step explanation:

In this question we have to find their greatest number by which they are divisible

So it could be possible if we have find the HCF of the numbers which is highest common factors of the number which are actuallly the greatest Numbers by which we can divide both the Numbers

Now

3528 in Prime factors is

3528    = 2³ * 3² * 7 * 7

And

6552 in Prime factors is

6552 = 2³ * 3² * 7 * 13

Now

HCF = Multiplication of common factors

as Common factors are 2³ ,  3² and 7 Now

HCF = 2³ * 3² * 7

        = 504

So the Greatest Number they are divisible by is 504