Question

The h.c.f of two numbers is 32 and their l.c.m is 196. If one of the number s is 64,find the other number

Answer 1

$\sf Given \begin{cases} & \sf{H.C.F\:of\:two\:numbers = \bf{32}} \\ & \sf{L.C.M\:of\:two\:numbers = \bf{196}} \\ & \sf{One\:of\:the\;number\:is = \bf{64}} \end{cases}$

To find: Other number?

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☯ Let the other number be x.

$\dag\;{\underline{\frak{As\;we\;know\;that,}}}$

$\star\;{\boxed{\sf{\pink{L.C.M \times H.C.F = a \times b}}}}$

where,

• a and b are two numbers.

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$\dag\;{\underline{\frak{Now,\:Putting\:values\:in\:formula,}}}$

$:\implies\sf 196 \times 32 = 64 \times x$

$:\implies\sf 6272 = 64 \times \times x$

$:\implies\sf x = \cancel{ \dfrac{6272}{64}}$

$:\implies{\underline{\boxed{\frak{\purple{x = 98}}}}}\;\bigstar$

$\therefore\:{\underline{\sf{The\:other\:number\:is\: {\textsf{\textbf{98}}}.}}}$

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$\qquad\qquad\boxed{\underline{\underline{\pink{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}}$

• HCF (Highest common factor) = The H.C.F. defines the greatest factor present in between given two or more numbers.
• H.C.F. is also called the Greatest Common Factor.

• LCM (Lowest common factor) = The L.C.M. defines the least number which is exactly divisible by two or more numbers.
• LCM is also called the Least Common Divisor.

Answer 2

Answer:

Other no. is 98

Step-by-step explanation:

Let the other no. be m.

LCM (64,m)= 196

HCF(64,m)= 32

LCM × HCF = (product of two no.s)

196×32= 64× m

6272= 64×m

m= 6272/64

m= 98

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