GCF of 6702/418, 8131/676
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6702/418, 8131/676 i.e 1/141284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6702/418, 8131/676.
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 6702/418,8131/676?
Given fractions are 6702/418,8131/676
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 6702/418,8131/676, numerators are 6702,8131
Denominators are 418,676
The GCF of 6702,8131 is 1 .
LCM of 418,676 is 141284.
The greatest common factor of 6702/418,8131/676 = [GCF of 6702,8131]/[LCM of 418,676]= 1/141284
Therefore, the GCF of 6702/418,8131/676 is 1/141284.
To find the highest common factor of 6702,8131, we have to find the factors of both numbers and list the highest common factor.
The factors of 6702 are 1, 2, 3, 6, 1117, 2234, 3351, 6702
The factors of 8131 are 1, 47, 173, 8131
The HCF of 6702,8131 is 1.
Lets's calculate GCF of 6702,8131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6702,8131 By Matching Biggest Common Factor Method
Now, list down the factors of 6702
:1,2,3,6,1117,2234,3351,6702
Now, list down the factors of 8131
:1,47,173,8131
Greatest Common Factor
We found the factors 6702,8131 . The biggest common factor number is the GCF number.
So the greatest common factor 6702,8131 is 1.
Lets's calculate LCM of 418,676
| 2 | 418, 676 |
| 209, 338 |
∴ So the LCM of the given numbers is 2 x 209 x 338 = 141284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/141284
Therefore, the GCF of Fractions 6702/418,8131/676 is 1/141284
Least Common Multiple of 418,676 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 418,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,676) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,676) x common factors =2 x 1 = 2
LCM(418,676) = ( 418 × 676 ) / 2
LCM(418,676) = 282568 / 2
LCM(418,676) = 141284
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FAQs on GCF of Fractions of 6702/418, 8131/676
1. What is the HCF of 6702,8131?
The HCF of 6702,8131 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 6702/418, 8131/676?
Answer: GCF of Numerators as per given numbers 6702/418, 8131/676 is
GCF of Numerators i.e. for 6702,8131 is 1
LCM of denominators i.e. for 418,676 is 141284.
Thus, GCF of Fractions is 1/141284.Finally, GCF of Fractions for 6702/418, 8131/676 is 1/141284.