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 15 of 16.
#@Dev# said:
1 decade ago
13 and 14 are two factors doesn't mean that 13 belongs to one no. and 14 belongs to another one
It may be like 26 belongs to greater no and 7 belongs to lower one.
It may be like 26 belongs to greater no and 7 belongs to lower one.
Parvez said:
1 decade ago
Ya I understand but I'm not fully satisfied to this method.
Please give me suggestion.
Please give me suggestion.
Anoop said:
1 decade ago
Let first number = 23 *a and second number = 23 * b where a and b are the products of the uncommon factors and they will be different numbers.
lcm=23*13*14
that means 23*a*__=23*b*__ = 23 * 13 * 14
a*__ = 13*14
b*__ = 13*14
a and b are two different numbers
so either a=14 & b=13
or a=13 and b = 14
so the numbers are 23*13 and 23 *14
lcm=23*13*14
that means 23*a*__=23*b*__ = 23 * 13 * 14
a*__ = 13*14
b*__ = 13*14
a and b are two different numbers
so either a=14 & b=13
or a=13 and b = 14
so the numbers are 23*13 and 23 *14
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
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?
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)
PRAMOD said:
1 decade ago
Now what are these uncommon factors?
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!.....
Riya said:
1 decade ago
Not convinced.
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.
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