Question

find the largest number which can divide 3528 and 2835

Answer 1

For that we have to find HCF
3528 = 2³ × 3² × 7²
2835 = 5 × 7 × 3⁴
HCF = 3 ²x 7 = 63
Therefore largest number which can divide 3528 and 2835 is 63
Hope it helps

Answer 2

The greatest number is 63

GIVEN

Numbers; 3528 and 2835

TO FIND

The largest number that can divide both the numbers.

SOLUTION

We can simply solve the above problem as follows;

To largest number that can divide both 3528 and 2835 will be the highest common factor of the numbers

We will first calculate the factors of each of the numbers, the highest number will be the HCF of the given numbers.

Prime Factors of 3528

= 2 × 2 × 2 × 3 × 3 × 7 × 7

Prime factors of 2835

= 3 × 3 × 3 × 3 × 5 × 7

Highest Common factor = 3 × 3 × 7 = 63

Hence, The greatest number is 63

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