Question

Find the HCF of 12, 156 and 180​

Answer 1

Answer:

2 × 2 × 3.

GCF = 12.

Step-by-step explanation:

Find the prime factorization of 156. 156 = 2 × 2 × 3 × 13.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

Answer 2

Answer:

HCF=12

Solution:-

To find the HCF, first we have to perform long division for the given values.

For 12:

$\begin{array}{c |c }\bf 2&\bf 12\\\cline{1-2}\bf 2&\bf 6\\\cline{1-2}\bf 3&\bf 3\\\cline{1-2}&\bf 1\end{array}$

So the prime factorisation of 12=2²×3

For 156:

$\begin{array}{c| c }\bf 2&\bf 156\\\cline{1-2}\bf 2&\bf 78\\\cline{1-2}\bf 3&\bf 39\\\cline{1-2}\bf 13&\bf13\\\cline{1-2}&\bf 1\end{array}$

Prime factorisation of 156=2²×3×13

For 180:

$\begin{array}{c |c}\bf 2&\bf 180\\\cline{1-2}\bf 2&\bf 90\\\cline{1-2}\bf 3&\bf 45\\\cline{1-2}\bf 3&\bf15\\\cline{1-2}\bf5&\bf 5\\\cline{1-2}&\bf 1\end{array}$

So prime factorisation of 180=2²×3²×5

Since 2²×3=12 is common in factorisation of these all terms, it is the highest common factor or (HCF)

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