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Can Two Numbers Have 16 as Their Hcf and 380 as Their Lcm? Give Reason. - Mathematics

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Numerical

Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.

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Solution

TO FIND: can two numbers have 16 as their H.C.F and 380 as their L.C.M

On dividing 380 by 16 we get 23 as the quotient and 12 as the remainder,

Since L.C.M is not exactly divisible by the H.C.F, two numbers cannot have 16 as their H.C.F and 380 as their L.C.M

Concept: Fundamental Theorem of Arithmetic
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.4 | Q 4 | Page 40

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