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 2 of 22.
Nirmod Kumar Mandal said:
3 years ago
Subtract the smallest number from both the highest numbers.
We have three cases:
183 > 43; 183 > 91 and 91 > 43.
183 - 43 = 140,
183 - 91 = 92 and,
91 - 43 = 48.
Why? Please explain.
We have three cases:
183 > 43; 183 > 91 and 91 > 43.
183 - 43 = 140,
183 - 91 = 92 and,
91 - 43 = 48.
Why? Please explain.
(31)
Abrar said:
2 years ago
By division method:
43)183(4
172
-----
11)43(3
33
------
10)11(1
10
-----
1)10(10
10
------
0
Now use the last divisor with the mid-number 1.
You get again the remainder as a 0,
Hence 1 should be the answer.
43)183(4
172
-----
11)43(3
33
------
10)11(1
10
-----
1)10(10
10
------
0
Now use the last divisor with the mid-number 1.
You get again the remainder as a 0,
Hence 1 should be the answer.
(22)
Anup said:
10 months ago
Why need to subtract and generate a new number, then take hcf ? Anyone, please explain to me.
(20)
Madhu said:
4 years ago
Take difference:
43 - 91 = 48.
91 - 183 = 92,
Now take the hcf of difference numbers 49, 92.
The HCF Of 48, 92 = 40.
43 - 91 = 48.
91 - 183 = 92,
Now take the hcf of difference numbers 49, 92.
The HCF Of 48, 92 = 40.
(19)
Ayesha said:
4 years ago
I am not understanding this. Please explain in detail.
(17)
Rocky said:
10 months ago
If any one number is prime, then HCF will be 1.
(17)
Palguni said:
2 years ago
Good explanation. Thanks all.
(15)
Shi said:
1 year ago
This is good to gain knowledge. Thanks all.
(9)
Rudra Prasad Lenka said:
7 months ago
1st you have to subtract them all by each higher no.
(183-43) = 140.
(183-91) = 92.
(91-43) = 48.
Now find the common factor of these new numbers.
i.e 4.
So the correct answer is option A.
(183-43) = 140.
(183-91) = 92.
(91-43) = 48.
Now find the common factor of these new numbers.
i.e 4.
So the correct answer is option A.
(8)
SHEHREEN KAUR said:
5 months ago
@All.
Why do we subtract?
Because if a number leaves the same remainder, then the differences between the numbers are divisible by that number.
Now, the numbers obtained after subtraction are divisible by their HCF or GCD.
So, after prime factorisation, the HCF is 4.
Why do we subtract?
Because if a number leaves the same remainder, then the differences between the numbers are divisible by that number.
Now, the numbers obtained after subtraction are divisible by their HCF or GCD.
So, after prime factorisation, the HCF is 4.
(7)
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