Math, asked by daniyal2155, 6 months ago

Find the Hcf by prime factorisation method 12,36

Answers

Answered by Anonymous
131

Given:

  • 12 and 36

Find:

  • HCF by prime factorisation method

Solution:

|2|  \underline{12} \\ |2|  \underline{6} \\ |3| \underline{3} \\ | \: |  \underline{1}

|2|  \underline{36} \\ |2|  \underline{18} \\ |3| \underline{9} \\ |3|  \underline{3} \\  | \: |  \underline{3}

Here, Prime Factors of 12 = 2×2×3

and Prime Factors of 36 = 2×2×3×3

The common prime factors of 12 and 36 are 2,2 and 3

\therefore Highest Common Factor of 12 and 36 = 2×2×3 = 12

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