Question

3. What is the HCF of 51 and 119?
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Answer 1

Answer:

17

Step-by-step explanation:

Detailed Answer:

The Greatest Common Factor (GCF) for 119 and 51, notation CGF(119,51), is 17. Explanation: The factors of 119 are 1,7,17,119; The factors of 51 are 1,3,17,51.

Answer 2

Answer:

The HCF of 51 and 119 is 17.

Step-by-step explanation:

Given two numbers are 51 and 119.

Here we want to find HCF of these two numbers.

We know,HCF means Highest Common Factor.

By some examples we can understand this concept more easily.

Example-1:

We are taking two numbers 6 and 9

By prime factorisation,

$6 = 2 \times 3 \\ 9 = 3 \times 3$

Here highest common factor of 6 and 9 is 3.

So HCF of 6 and 9 is 3.

Example -2:

We are taking three numbers 8,10 and 12.

By prime factorisation,

$8 = 2 \times 2 \times 2 \\ 10 = 2 \times 5 \\ 12 = 2 \times 2 \times 3$

Here highest common factor of 8,10 and 12 is 2.

So HCF of 8,10 and 12 is 2.

In this question we have two digits 51 and 119

By prime factorisation,

$51 = 3 \times 17 \\ 119 = 7 \times 17$

Here highest common factor of 51 and 119 is 17.

So, HCF of 51 and 119 is 17.

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