Question

Can 2 numbers have 16 as their HCF and 380 as their LCM?Give Reason

Answer 1

Not possible to have ‘two numbers’ whose “HCF is 16 and LCM is 380”.

Solution:

Given: 16 as their ‘HCF’ and 380 as their ‘LCM’.

We know that H.C.F. between the numbers is the ‘highest common factors’ between two numbers while L.C.M. is the ‘lowest common multiple’ of that numbers.

Two numbers with both H.C.F. as 16 and L.C.M. as 380 is not possible. 380 is the L.C.M. must be exactly divisible by 16 as their H.C.F.

But $\frac{380}{16}=23.75$

The answer is in decimal. Thus, L.C.M. 380 is ‘not divisible’ by H.C.F. 16 of two numbers. The given condition is not possible.

Answer 2

Answer:

No,

No,2 numbers doesn't have 16 as their HCF and 380 as their LCM .

Step-by-step explanation:

No,

2 numbers doesn't have 16 as their HCF and 380 as their LCM .

Reason:

We know that,

HCF of two numbers is always a factor of their LCM.

Here,

16 is not a factor of 380.

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