GCF of 9895/952, 3896/917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9895/952, 3896/917 i.e 1/124712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9895/952, 3896/917.
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 9895/952,3896/917?
Given fractions are 9895/952,3896/917
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 9895/952,3896/917, numerators are 9895,3896
Denominators are 952,917
The GCF of 9895,3896 is 1 .
LCM of 952,917 is 124712.
The greatest common factor of 9895/952,3896/917 = [GCF of 9895,3896]/[LCM of 952,917]= 1/124712
Therefore, the GCF of 9895/952,3896/917 is 1/124712.
To find the highest common factor of 9895,3896, we have to find the factors of both numbers and list the highest common factor.
The factors of 9895 are 1, 5, 1979, 9895
The factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896
The HCF of 9895,3896 is 1.
Lets's calculate GCF of 9895,3896
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9895,3896 By Matching Biggest Common Factor Method
Now, list down the factors of 9895
:1,5,1979,9895
Now, list down the factors of 3896
:1,2,4,8,487,974,1948,3896
Greatest Common Factor
We found the factors 9895,3896 . The biggest common factor number is the GCF number.
So the greatest common factor 9895,3896 is 1.
Lets's calculate LCM of 952,917
| 7 | 952, 917 |
| 136, 131 |
∴ So the LCM of the given numbers is 7 x 136 x 131 = 124712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124712
Therefore, the GCF of Fractions 9895/952,3896/917 is 1/124712
Least Common Multiple of 952,917 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 952,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(952,917) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(952,917) x common factors =7 x 1 = 7
LCM(952,917) = ( 952 × 917 ) / 7
LCM(952,917) = 872984 / 7
LCM(952,917) = 124712
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FAQs on GCF of Fractions of 9895/952, 3896/917
1. What is the HCF of 9895,3896?
The HCF of 9895,3896 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 9895/952, 3896/917?
Answer: GCF of Numerators as per given numbers 9895/952, 3896/917 is
GCF of Numerators i.e. for 9895,3896 is 1
LCM of denominators i.e. for 952,917 is 124712.
Thus, GCF of Fractions is 1/124712.Finally, GCF of Fractions for 9895/952, 3896/917 is 1/124712.