Question

find the HCF of the following numbers of 615 and 984
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Answer 1

Hi!!!

HCF of 615 an 984 is 123

HOPE IT HELPS...

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Answer 2

$\huge\underline\mathfrak{Question-}$

Find the HCF of the following numbers.

• 615 and 984

$\huge\underline\mathfrak{Answer-}$

$\large{\boxed{\mathrm{\blue{HCF=123}}}}$

$\huge\underline\mathfrak{Solution-}$

By prime factorisation method,

★ Prime factors of 615 :

$\longmapsto$ $\sf{\boxed{3}}$ × 5 × $\sf{\boxed{41}}$

★ Prime factors of 984 :

$\longmapsto$ 2³ × $\sf{\boxed{3}}$ × $\sf{\boxed{41}}$

HCF ( Highest common factor ) = 3 × 41

•°• HCF = 123

*for prime factorisation, refer to the attachment*

$\rule{200}2$

By using Euclid division lemma,

a = bq + r

984 = (615×1) + 369

615 = (369×1) + 246

369 = (246×1) + 123

246 = (123×2) + 0

HCF = 123

$\rule{200}2$

By long division method,

*refer to the attachment*

$\large{\boxed{\mathrm{\blue{\therefore\:HCF=123}}}}$