GCF of 6708/816, 7631/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6708/816, 7631/841 i.e 13/686256 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6708/816, 7631/841.
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 6708/816,7631/841?
Given fractions are 6708/816,7631/841
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 6708/816,7631/841, numerators are 6708,7631
Denominators are 816,841
The GCF of 6708,7631 is 13 .
LCM of 816,841 is 686256.
The greatest common factor of 6708/816,7631/841 = [GCF of 6708,7631]/[LCM of 816,841]= 13/686256
Therefore, the GCF of 6708/816,7631/841 is 13/686256.
To find the highest common factor of 6708,7631, we have to find the factors of both numbers and list the highest common factor.
The factors of 6708 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 43, 52, 78, 86, 129, 156, 172, 258, 516, 559, 1118, 1677, 2236, 3354, 6708
The factors of 7631 are 1, 13, 587, 7631
The HCF of 6708,7631 is 13.
Lets's calculate GCF of 6708,7631
| 13 | 6708, 7631 |
| 516, 587 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6708,7631 By Matching Biggest Common Factor Method
Now, list down the factors of 6708
:1,2,3,4,6,12,13,26,39,43,52,78,86,129,156,172,258,516,559,1118,1677,2236,3354,6708
Now, list down the factors of 7631
:1,13,587,7631
Greatest Common Factor
We found the factors 6708,7631 . The biggest common factor number is the GCF number.
So the greatest common factor 6708,7631 is 13.
Lets's calculate LCM of 816,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 686256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/686256
Therefore, the GCF of Fractions 6708/816,7631/841 is 13/686256
Least Common Multiple of 816,841 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 816,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,841) x common factors =1 x 1 = 1
LCM(816,841) = ( 816 × 841 ) / 1
LCM(816,841) = 686256 / 1
LCM(816,841) = 686256
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FAQs on GCF of Fractions of 6708/816, 7631/841
1. What is the HCF of 6708,7631?
The HCF of 6708,7631 is 13
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 6708/816, 7631/841?
Answer: GCF of Numerators as per given numbers 6708/816, 7631/841 is
GCF of Numerators i.e. for 6708,7631 is 13
LCM of denominators i.e. for 816,841 is 686256.
Thus, GCF of Fractions is 13/686256.Finally, GCF of Fractions for 6708/816, 7631/841 is 13/686256.