GCF of 6137/314, 7713/548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6137/314, 7713/548 i.e 1/86036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6137/314, 7713/548.
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 6137/314,7713/548?
Given fractions are 6137/314,7713/548
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 6137/314,7713/548, numerators are 6137,7713
Denominators are 314,548
The GCF of 6137,7713 is 1 .
LCM of 314,548 is 86036.
The greatest common factor of 6137/314,7713/548 = [GCF of 6137,7713]/[LCM of 314,548]= 1/86036
Therefore, the GCF of 6137/314,7713/548 is 1/86036.
To find the highest common factor of 6137,7713, we have to find the factors of both numbers and list the highest common factor.
The factors of 6137 are 1, 17, 19, 323, 361, 6137
The factors of 7713 are 1, 3, 9, 857, 2571, 7713
The HCF of 6137,7713 is 1.
Lets's calculate GCF of 6137,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6137,7713 By Matching Biggest Common Factor Method
Now, list down the factors of 6137
:1,17,19,323,361,6137
Now, list down the factors of 7713
:1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 6137,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 6137,7713 is 1.
Lets's calculate LCM of 314,548
| 2 | 314, 548 |
| 157, 274 |
∴ So the LCM of the given numbers is 2 x 157 x 274 = 86036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86036
Therefore, the GCF of Fractions 6137/314,7713/548 is 1/86036
Least Common Multiple of 314,548 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 314,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,548) x common factors =2 x 1 = 2
LCM(314,548) = ( 314 × 548 ) / 2
LCM(314,548) = 172072 / 2
LCM(314,548) = 86036
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FAQs on GCF of Fractions of 6137/314, 7713/548
1. What is the HCF of 6137,7713?
The HCF of 6137,7713 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 6137/314, 7713/548?
Answer: GCF of Numerators as per given numbers 6137/314, 7713/548 is
GCF of Numerators i.e. for 6137,7713 is 1
LCM of denominators i.e. for 314,548 is 86036.
Thus, GCF of Fractions is 1/86036.Finally, GCF of Fractions for 6137/314, 7713/548 is 1/86036.