Question

find the hcf of 252,1540
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Answer 1

Answer:


Steps to find HCF

Find the prime factorization of 252
252 = 2 × 2 × 3 × 3 × 7
Find the prime factorization of 1540
1540 = 2 × 2 × 5 × 7 × 11
To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 7
GCF = 28

Answer 2

Answer:

HCF of 252,1540 is 28.

Step-by-step explanation:

Here given numbers are 252 and 1540.

We want to find HCF of these numbers.

HCF means Highest Common Factor.

By one examples we can understand this concept more easily.

We are taking four numbers 20,50,70,100.

By prime factorisation,

$20 = 2 \times 2 \times 5 \\ 50 = 2 \times 5 \times 5 \\ 70 = 2 \times 5 \times 7 \\ 100 = 2 \times 2 \times 5 \times 5$

Here highest common factor of 20,50,70 and 100 is $(2 \times 5) = 10$

So,HCF of 20,50,70 and 100 is 10.

Here numbers are 252 and 1540

By prime factorisation,

$252 = 2 \times 2 \times 3 \times 3 \times 7 \\ 1540 = 2 \times 2 \times 5 \times 7 \times 11$

So,HCF of 252 and 1540 is (2×2×7) = 28

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