GCF of 6377/371, 3713/2723
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6377/371, 3713/2723 i.e 1/144319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6377/371, 3713/2723.
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 6377/371,3713/2723?
Given fractions are 6377/371,3713/2723
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 6377/371,3713/2723, numerators are 6377,3713
Denominators are 371,2723
The GCF of 6377,3713 is 1 .
LCM of 371,2723 is 144319.
The greatest common factor of 6377/371,3713/2723 = [GCF of 6377,3713]/[LCM of 371,2723]= 1/144319
Therefore, the GCF of 6377/371,3713/2723 is 1/144319.
To find the highest common factor of 6377,3713, we have to find the factors of both numbers and list the highest common factor.
The factors of 6377 are 1, 7, 911, 6377
The factors of 3713 are 1, 47, 79, 3713
The HCF of 6377,3713 is 1.
Lets's calculate GCF of 6377,3713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6377,3713 By Matching Biggest Common Factor Method
Now, list down the factors of 6377
:1,7,911,6377
Now, list down the factors of 3713
:1,47,79,3713
Greatest Common Factor
We found the factors 6377,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 6377,3713 is 1.
Lets's calculate LCM of 371,2723
| 7 | 371, 2723 |
| 53, 389 |
∴ So the LCM of the given numbers is 7 x 53 x 389 = 144319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144319
Therefore, the GCF of Fractions 6377/371,3713/2723 is 1/144319
Least Common Multiple of 371,2723 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 371,2723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,2723) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(371,2723) x common factors =7 x 1 = 7
LCM(371,2723) = ( 371 × 2723 ) / 7
LCM(371,2723) = 1010233 / 7
LCM(371,2723) = 144319
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FAQs on GCF of Fractions of 6377/371, 3713/2723
1. What is the HCF of 6377,3713?
The HCF of 6377,3713 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 6377/371, 3713/2723?
Answer: GCF of Numerators as per given numbers 6377/371, 3713/2723 is
GCF of Numerators i.e. for 6377,3713 is 1
LCM of denominators i.e. for 371,2723 is 144319.
Thus, GCF of Fractions is 1/144319.Finally, GCF of Fractions for 6377/371, 3713/2723 is 1/144319.