GCF of 9661/292, 1936/9502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9661/292, 1936/9502 i.e 1/1387292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9661/292, 1936/9502.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 9661/292,1936/9502?
Given fractions are 9661/292,1936/9502
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 9661/292,1936/9502, numerators are 9661,1936
Denominators are 292,9502
The GCF of 9661,1936 is 1 .
LCM of 292,9502 is 1387292.
The greatest common factor of 9661/292,1936/9502 = [GCF of 9661,1936]/[LCM of 292,9502]= 1/1387292
Therefore, the GCF of 9661/292,1936/9502 is 1/1387292.
To find the highest common factor of 9661,1936, we have to find the factors of both numbers and list the highest common factor.
The factors of 9661 are 1, 9661
The factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936
The HCF of 9661,1936 is 1.
Lets's calculate GCF of 9661,1936
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9661,1936 By Matching Biggest Common Factor Method
Now, list down the factors of 9661
:1,9661
Now, list down the factors of 1936
:1,2,4,8,11,16,22,44,88,121,176,242,484,968,1936
Greatest Common Factor
We found the factors 9661,1936 . The biggest common factor number is the GCF number.
So the greatest common factor 9661,1936 is 1.
Lets's calculate LCM of 292,9502
| 2 | 292, 9502 |
| 146, 4751 |
∴ So the LCM of the given numbers is 2 x 146 x 4751 = 1387292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1387292
Therefore, the GCF of Fractions 9661/292,1936/9502 is 1/1387292
Least Common Multiple of 292,9502 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 292,9502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,9502) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,9502) x common factors =2 x 1 = 2
LCM(292,9502) = ( 292 × 9502 ) / 2
LCM(292,9502) = 2774584 / 2
LCM(292,9502) = 1387292
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FAQs on GCF of Fractions of 9661/292, 1936/9502
1. What is the HCF of 9661,1936?
The HCF of 9661,1936 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 9661/292, 1936/9502?
Answer: GCF of Numerators as per given numbers 9661/292, 1936/9502 is
GCF of Numerators i.e. for 9661,1936 is 1
LCM of denominators i.e. for 292,9502 is 1387292.
Thus, GCF of Fractions is 1/1387292.Finally, GCF of Fractions for 9661/292, 1936/9502 is 1/1387292.