find the h.c.f of the given numbers by division method 135 225
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62
this is the correct answer
i. e. 45
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Answered by
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Given :
- 135 , 225
To find :
- find the h.c.f
Solution :
_____
135) 225 (1
⠀⠀- 135
⠀⠀⠀⠀_______
⠀⠀⠀⠀90) 135 (1
⠀⠀⠀⠀⠀⠀- 90
⠀⠀⠀⠀⠀⠀⠀______
⠀⠀⠀⠀⠀⠀⠀45) 90(2
⠀⠀⠀⠀⠀⠀⠀⠀⠀- 90
⠀⠀⠀⠀⠀⠀⠀⠀ ______
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀00
225 = 135 x 1 + 90
135 = 90 x 1 + 45
90 = 45 x 2
∴ HCF is 45
Extra Information :
Product of two numbers = (their H.C.F.) × (their L.C.M.) .
LCM of fraction = LCM of numerator/HCF of denominator
HCF of fraction = HCF of numerator/LCM of denominator
LCM x HCF = products of the two numbers
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