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. 1)
1.
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
Answer: Option
Explanation:
Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140 = 4.
Discussion:
216 comments Page 6 of 22.
Ahmad Zaidi said:
8 years ago
@Samir.
First find the LCM of 60, 80, 90, which is 720. Then divide it by 99999 which is highest 5 digit number, and less the reminder which is 639 and answer is 99360. Which is equally divisible by 60, 80, 90. Thanks.
First find the LCM of 60, 80, 90, which is 720. Then divide it by 99999 which is highest 5 digit number, and less the reminder which is 639 and answer is 99360. Which is equally divisible by 60, 80, 90. Thanks.
G vinay said:
8 years ago
How? Please explain the answer.
Ankush said:
8 years ago
@Mrunmay.
Solution they take difference because to make remainder zero. And than that divisor will divine these number Completely.
Solution they take difference because to make remainder zero. And than that divisor will divine these number Completely.
Jyothi said:
8 years ago
Not getting it, can anyone please explain it?
Mrunmay said:
8 years ago
Why numbers are being subtracted? I still have a doubt. Please explain me.
Mahima said:
8 years ago
Nice explanation @Parthiban. Thanks.
Shankar said:
8 years ago
Let x be the greatest possible number such that it leaves the same remainder when it divides 183, 91 or 43.
Since the remainder is the same in each case, the difference of the terms must be exactly divisible by x. Also, x must the greatest possible number that exactly divides the difference between the terms.
Required number, x = HCF of (183 " 91, 91 " 43, 183 " 43) = HCF of (92, 48, 140) = 4.
Since the remainder is the same in each case, the difference of the terms must be exactly divisible by x. Also, x must the greatest possible number that exactly divides the difference between the terms.
Required number, x = HCF of (183 " 91, 91 " 43, 183 " 43) = HCF of (92, 48, 140) = 4.
Sayyidah shah said:
8 years ago
Best solution, Thanks @Nikita.
Gowtham said:
9 years ago
Thanks @Komal.
I could finally get it.
I could finally get it.
Rajat said:
9 years ago
Why we taking the difference between these, first explain this.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers