Question

Find the HCF of 28, 40 and 102

Answer 1

Hi 2 is the HCF of 28, 40 and 102

Answer 2

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

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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