Aptitude Overflow
0 votes
236 views
Calculate number of pairs Whose LCM is 800 and HCF is 20
asked in Quantitative Aptitude by (412 points)   | 236 views

1 Answer

+1 vote
Best answer

I guess 4 paris are possible

We know that hcf is higest common factor in both numbers which is 20 here. Both numbers will be multiple of 20.

remaining factors of the numbers is 800/20 = 40

we just need to distribute the prime factors (2*2*2*5) of 40 to both numbers with 20.

supoose both numebrs are A and B

A B
2 *20 =40 2*2*5*20 =400
5*20=100 2*2*2*20 =160
2*2*20=80 2*5*20=200
2*2*2*5*20 =800 1*20=20

A*B =LCM * HCF = 800*20 = 16000

answered by (896 points)  
selected by
if A=40 and B=400 then HCF is 40 not 20
if A=80 and B=200 then HCF is 40 not 20
2,599 questions
936 answers
376 comments
31,320 users