1.

Can two number have the following HCF and LCMi)HCF=20 AND LCM =535ii)HCF=15 AND LCM =525​

Answer»

Step-by-step EXPLANATION:

Given that: can TWO number have the following HCF and LCM

i)HCF=20 AND LCM =535

ii)HCF=15 AND LCM =525.

To find: Is true or not?

Solution: First of all one should know that LCM and HCF of two given numbers are like that HCF is a factor of LCM.

or in other words LCM is a multiple of HCF.

on conclusion one can say that HCF divides LCM completely.

i)HCF=20 AND LCM =535

Ans: 20)535(26

40

---------

135

120

-------

15

-------

Not true.

Not possible, because LCM is not completely divisible by HCF.

ii)HCF=15 AND LCM =525.

Sol:15)525(35

45

---------

75

75

-------

0

-------

True

Yes,it is possible.

Because LCM us completely divisible by HCF.

Hope it helps you.


Discussion

No Comment Found

Related InterviewSolutions