Question

What is the hcf of 120 140 and 200

Answer 1

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Answer 2

Answer:

Required HCF is 20.

Step-by-step explanation:

Here given numbers are 120,140 and 200

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 120,140 and 200

By prime factorisation,

$120 = 2 \times 2 \times 2 \times 5 \times 3 \\ 140 = 2 \times 2\times 5 \times 7 \\ 200 = 2 \times 2 \times 2 \times 5 \times 5$

So, highest common factor of 120,140 and 200 is

$2 \times 2 \times 5 = 20$

So,HCF of 120,140 and 200 is 20.

Know more about HCF,

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