GCF of 7891/722, 1016/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7891/722, 1016/931 i.e 1/35378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7891/722, 1016/931.
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 7891/722,1016/931?
Given fractions are 7891/722,1016/931
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 7891/722,1016/931, numerators are 7891,1016
Denominators are 722,931
The GCF of 7891,1016 is 1 .
LCM of 722,931 is 35378.
The greatest common factor of 7891/722,1016/931 = [GCF of 7891,1016]/[LCM of 722,931]= 1/35378
Therefore, the GCF of 7891/722,1016/931 is 1/35378.
To find the highest common factor of 7891,1016, we have to find the factors of both numbers and list the highest common factor.
The factors of 7891 are 1, 13, 607, 7891
The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016
The HCF of 7891,1016 is 1.
Lets's calculate GCF of 7891,1016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7891,1016 By Matching Biggest Common Factor Method
Now, list down the factors of 7891
:1,13,607,7891
Now, list down the factors of 1016
:1,2,4,8,127,254,508,1016
Greatest Common Factor
We found the factors 7891,1016 . The biggest common factor number is the GCF number.
So the greatest common factor 7891,1016 is 1.
Lets's calculate LCM of 722,931
| 19 | 722, 931 |
| 38, 49 |
∴ So the LCM of the given numbers is 19 x 38 x 49 = 35378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35378
Therefore, the GCF of Fractions 7891/722,1016/931 is 1/35378
Least Common Multiple of 722,931 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 722,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,931) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(722,931) x common factors =19 x 1 = 19
LCM(722,931) = ( 722 × 931 ) / 19
LCM(722,931) = 672182 / 19
LCM(722,931) = 35378
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FAQs on GCF of Fractions of 7891/722, 1016/931
1. What is the HCF of 7891,1016?
The HCF of 7891,1016 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 7891/722, 1016/931?
Answer: GCF of Numerators as per given numbers 7891/722, 1016/931 is
GCF of Numerators i.e. for 7891,1016 is 1
LCM of denominators i.e. for 722,931 is 35378.
Thus, GCF of Fractions is 1/35378.Finally, GCF of Fractions for 7891/722, 1016/931 is 1/35378.