Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 2)
2.
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Answer: Option
Explanation:
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.
Discussion:
153 comments Page 1 of 16.
Abhinav said:
1 decade ago
What is the concept behind this solution?
Sinchana said:
1 decade ago
I didn't understand the solution can anybody explain for me.
Archana said:
1 decade ago
Could not understand the concept, please help.
(1)
Poornima said:
1 decade ago
HCF- Higest Common Factor, so we already have one factor of the number we need to find out ok. N we are also given the least common factors ie, 13 n 14. So to get the numbers just multiply both the Least common numbers with their HCF so that you can find the actual numbers.
Riya said:
1 decade ago
Not convinced.
Prathyusha said:
1 decade ago
1]HCF of two numbers is the number which is common factor for both numbers given.here 23 is the common factor.
2]other than this common factor ,we also will have the product of uncommon factors for the two numbers (13 and 14 here).
3]the first number =23*13
and second number=23*14
4]greatest of two numbers is definitely 23*14
Correct me if i am wrong please!.....
2]other than this common factor ,we also will have the product of uncommon factors for the two numbers (13 and 14 here).
3]the first number =23*13
and second number=23*14
4]greatest of two numbers is definitely 23*14
Correct me if i am wrong please!.....
PRAMOD said:
1 decade ago
Now what are these uncommon factors?
Chiya said:
1 decade ago
HCF*LCM=a*b
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
(5)
Ramesh said:
1 decade ago
I think the two numbers can be 23 and 23x13x14 i e 4186. Is it possible?
Suppose we take two numbers 4 and 24. Their HCF is 4 and LCM is 24. Then the greatest number is 24 itself even though it is the LCM.Am I right?
Suppose we take two numbers 4 and 24. Their HCF is 4 and LCM is 24. Then the greatest number is 24 itself even though it is the LCM.Am I right?
AVINASH said:
1 decade ago
What pratyusha said is h.c.f of two numbers that means common factor of two numbers is 23.
Hope there are more than common factors..
then what about uncommon factors..they given lcm of two factors..is uncommon factors are lcm of factors?
I want clear explanation
Hope there are more than common factors..
then what about uncommon factors..they given lcm of two factors..is uncommon factors are lcm of factors?
I want clear explanation
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