GCF of 8406/356, 7931/2910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8406/356, 7931/2910 i.e 1/517980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8406/356, 7931/2910.
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 8406/356,7931/2910?
Given fractions are 8406/356,7931/2910
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 8406/356,7931/2910, numerators are 8406,7931
Denominators are 356,2910
The GCF of 8406,7931 is 1 .
LCM of 356,2910 is 517980.
The greatest common factor of 8406/356,7931/2910 = [GCF of 8406,7931]/[LCM of 356,2910]= 1/517980
Therefore, the GCF of 8406/356,7931/2910 is 1/517980.
To find the highest common factor of 8406,7931, we have to find the factors of both numbers and list the highest common factor.
The factors of 8406 are 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802, 4203, 8406
The factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931
The HCF of 8406,7931 is 1.
Lets's calculate GCF of 8406,7931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8406,7931 By Matching Biggest Common Factor Method
Now, list down the factors of 8406
:1,2,3,6,9,18,467,934,1401,2802,4203,8406
Now, list down the factors of 7931
:1,7,11,77,103,721,1133,7931
Greatest Common Factor
We found the factors 8406,7931 . The biggest common factor number is the GCF number.
So the greatest common factor 8406,7931 is 1.
Lets's calculate LCM of 356,2910
| 2 | 356, 2910 |
| 178, 1455 |
∴ So the LCM of the given numbers is 2 x 178 x 1455 = 517980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/517980
Therefore, the GCF of Fractions 8406/356,7931/2910 is 1/517980
Least Common Multiple of 356,2910 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 356,2910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,2910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(356,2910) x common factors =2 x 1 = 2
LCM(356,2910) = ( 356 × 2910 ) / 2
LCM(356,2910) = 1035960 / 2
LCM(356,2910) = 517980
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FAQs on GCF of Fractions of 8406/356, 7931/2910
1. What is the HCF of 8406,7931?
The HCF of 8406,7931 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 8406/356, 7931/2910?
Answer: GCF of Numerators as per given numbers 8406/356, 7931/2910 is
GCF of Numerators i.e. for 8406,7931 is 1
LCM of denominators i.e. for 356,2910 is 517980.
Thus, GCF of Fractions is 1/517980.Finally, GCF of Fractions for 8406/356, 7931/2910 is 1/517980.