GCF of 8931/914, 6204/3702
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8931/914, 6204/3702 i.e 3/1691814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8931/914, 6204/3702.
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 8931/914,6204/3702?
Given fractions are 8931/914,6204/3702
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 8931/914,6204/3702, numerators are 8931,6204
Denominators are 914,3702
The GCF of 8931,6204 is 3 .
LCM of 914,3702 is 1691814.
The greatest common factor of 8931/914,6204/3702 = [GCF of 8931,6204]/[LCM of 914,3702]= 3/1691814
Therefore, the GCF of 8931/914,6204/3702 is 3/1691814.
To find the highest common factor of 8931,6204, we have to find the factors of both numbers and list the highest common factor.
The factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931
The factors of 6204 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 47, 66, 94, 132, 141, 188, 282, 517, 564, 1034, 1551, 2068, 3102, 6204
The HCF of 8931,6204 is 3.
Lets's calculate GCF of 8931,6204
| 3 | 8931, 6204 |
| 2977, 2068 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8931,6204 By Matching Biggest Common Factor Method
Now, list down the factors of 8931
:1,3,13,39,229,687,2977,8931
Now, list down the factors of 6204
:1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204
Greatest Common Factor
We found the factors 8931,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 8931,6204 is 3.
Lets's calculate LCM of 914,3702
| 2 | 914, 3702 |
| 457, 1851 |
∴ So the LCM of the given numbers is 2 x 457 x 1851 = 1691814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1691814
Therefore, the GCF of Fractions 8931/914,6204/3702 is 3/1691814
Least Common Multiple of 914,3702 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 914,3702 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3702) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3702) x common factors =2 x 1 = 2
LCM(914,3702) = ( 914 × 3702 ) / 2
LCM(914,3702) = 3383628 / 2
LCM(914,3702) = 1691814
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FAQs on GCF of Fractions of 8931/914, 6204/3702
1. What is the HCF of 8931,6204?
The HCF of 8931,6204 is 3
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 8931/914, 6204/3702?
Answer: GCF of Numerators as per given numbers 8931/914, 6204/3702 is
GCF of Numerators i.e. for 8931,6204 is 3
LCM of denominators i.e. for 914,3702 is 1691814.
Thus, GCF of Fractions is 3/1691814.Finally, GCF of Fractions for 8931/914, 6204/3702 is 3/1691814.