GCF of 6392/931, 5304/7931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6392/931, 5304/7931 i.e 136/1054823 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6392/931, 5304/7931.
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 6392/931,5304/7931?
Given fractions are 6392/931,5304/7931
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 6392/931,5304/7931, numerators are 6392,5304
Denominators are 931,7931
The GCF of 6392,5304 is 136 .
LCM of 931,7931 is 1054823.
The greatest common factor of 6392/931,5304/7931 = [GCF of 6392,5304]/[LCM of 931,7931]= 136/1054823
Therefore, the GCF of 6392/931,5304/7931 is 136/1054823.
To find the highest common factor of 6392,5304, we have to find the factors of both numbers and list the highest common factor.
The factors of 6392 are 1, 2, 4, 8, 17, 34, 47, 68, 94, 136, 188, 376, 799, 1598, 3196, 6392
The factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304
The HCF of 6392,5304 is 136.
Lets's calculate GCF of 6392,5304
| 2 | 6392, 5304 |
| 2 | 3196, 2652 |
| 2 | 1598, 1326 |
| 17 | 799, 663 |
| 47, 39 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Greatest Common Factor of 6392,5304 By Matching Biggest Common Factor Method
Now, list down the factors of 6392
:1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392
Now, list down the factors of 5304
:1,2,3,4,6,8,12,13,17,24,26,34,39,51,52,68,78,102,104,136,156,204,221,312,408,442,663,884,1326,1768,2652,5304
Greatest Common Factor
We found the factors 6392,5304 . The biggest common factor number is the GCF number.
So the greatest common factor 6392,5304 is 136.
Lets's calculate LCM of 931,7931
| 7 | 931, 7931 |
| 133, 1133 |
∴ So the LCM of the given numbers is 7 x 133 x 1133 = 1054823
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/1054823
Therefore, the GCF of Fractions 6392/931,5304/7931 is 136/1054823
Least Common Multiple of 931,7931 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 931,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,7931) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(931,7931) x common factors =7 x 1 = 7
LCM(931,7931) = ( 931 × 7931 ) / 7
LCM(931,7931) = 7383761 / 7
LCM(931,7931) = 1054823
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6392/931, 5304/7931
1. What is the HCF of 6392,5304?
The HCF of 6392,5304 is 136
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 6392/931, 5304/7931?
Answer: GCF of Numerators as per given numbers 6392/931, 5304/7931 is
GCF of Numerators i.e. for 6392,5304 is 136
LCM of denominators i.e. for 931,7931 is 1054823.
Thus, GCF of Fractions is 136/1054823.Finally, GCF of Fractions for 6392/931, 5304/7931 is 136/1054823.