GCF of 6913/512, 7963/1538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6913/512, 7963/1538 i.e 1/393728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6913/512, 7963/1538.
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 6913/512,7963/1538?
Given fractions are 6913/512,7963/1538
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 6913/512,7963/1538, numerators are 6913,7963
Denominators are 512,1538
The GCF of 6913,7963 is 1 .
LCM of 512,1538 is 393728.
The greatest common factor of 6913/512,7963/1538 = [GCF of 6913,7963]/[LCM of 512,1538]= 1/393728
Therefore, the GCF of 6913/512,7963/1538 is 1/393728.
To find the highest common factor of 6913,7963, we have to find the factors of both numbers and list the highest common factor.
The factors of 6913 are 1, 31, 223, 6913
The factors of 7963 are 1, 7963
The HCF of 6913,7963 is 1.
Lets's calculate GCF of 6913,7963
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6913,7963 By Matching Biggest Common Factor Method
Now, list down the factors of 6913
:1,31,223,6913
Now, list down the factors of 7963
:1,7963
Greatest Common Factor
We found the factors 6913,7963 . The biggest common factor number is the GCF number.
So the greatest common factor 6913,7963 is 1.
Lets's calculate LCM of 512,1538
| 2 | 512, 1538 |
| 256, 769 |
∴ So the LCM of the given numbers is 2 x 256 x 769 = 393728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393728
Therefore, the GCF of Fractions 6913/512,7963/1538 is 1/393728
Least Common Multiple of 512,1538 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 512,1538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,1538) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,1538) x common factors =2 x 1 = 2
LCM(512,1538) = ( 512 × 1538 ) / 2
LCM(512,1538) = 787456 / 2
LCM(512,1538) = 393728
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FAQs on GCF of Fractions of 6913/512, 7963/1538
1. What is the HCF of 6913,7963?
The HCF of 6913,7963 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 6913/512, 7963/1538?
Answer: GCF of Numerators as per given numbers 6913/512, 7963/1538 is
GCF of Numerators i.e. for 6913,7963 is 1
LCM of denominators i.e. for 512,1538 is 393728.
Thus, GCF of Fractions is 1/393728.Finally, GCF of Fractions for 6913/512, 7963/1538 is 1/393728.