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Liono4ka [1.6K]
2 years ago
8

Find the highest common factor of 12 and 40​

Mathematics
2 answers:
levacccp [35]2 years ago
8 0

To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.

\purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \:  \:  \:  \:  \:  \:  \:  \:   \:  \: \:  \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}

  • Take every common prime factor between 12 and 40

\red {\large \implies} \large \: 12 \:  =  \: 2 \:  \times  \:  3 \:  \times  \: 2 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \red {\large \implies} \large \:40 \:  =  \: 2 \:  \times  \: 2 \:  \times  \: 5 \:  \times  \: 2 \:

  • Finally, identify the factors common to each number and multiply those common factors together.

\rm\orange {\large \implies} \large \:Common \:   factors \: =  \: 2 \:  \times  \: 2

\rm\orange {\large \implies} \large \:HCF = 4

hichkok12 [17]2 years ago
4 0
4 is the highest common factor

Hope this helps!
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