Math, asked by realseptic59, 6 months ago

Find the HCF of 28, 40 and 102

Answers

Answered by sumanth123468
3

Hi 2 is the HCF of 28, 40 and 102

Answered by mysticd
0

 Given \: numbers\: 28, 40 \:and \: 102

i)

2 | 28

_______

2 | 14

_______

*** 7

ii )

2 | 40

______

2 | 20

______

2 | 10

______

*** 5

iii )

2 | 102

______

3 | 51

______

*** 17

 We \: have ,

 28 = 2\times 2 \times 7 = 2^{2} \times 7

 40 = 2\times 2 \times 2 \times 5 = 2^{3} \times  5

 102 = 2 \times 3 \times 17

Therefore.,

\red{ HCF \: of \: 28 , 40 \: and \: 102 }\green { = 2 }

 \blue { ( Product \: of \: the \: smallest \:power}\\\blue{ of \: each \: common \: factors \: of \: the }\\\blue{ numbers . )}

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