GCF of 7961/629, 2671/5814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7961/629, 2671/5814 i.e 1/215118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7961/629, 2671/5814.
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 7961/629,2671/5814?
Given fractions are 7961/629,2671/5814
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 7961/629,2671/5814, numerators are 7961,2671
Denominators are 629,5814
The GCF of 7961,2671 is 1 .
LCM of 629,5814 is 215118.
The greatest common factor of 7961/629,2671/5814 = [GCF of 7961,2671]/[LCM of 629,5814]= 1/215118
Therefore, the GCF of 7961/629,2671/5814 is 1/215118.
To find the highest common factor of 7961,2671, we have to find the factors of both numbers and list the highest common factor.
The factors of 7961 are 1, 19, 419, 7961
The factors of 2671 are 1, 2671
The HCF of 7961,2671 is 1.
Lets's calculate GCF of 7961,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7961,2671 By Matching Biggest Common Factor Method
Now, list down the factors of 7961
:1,19,419,7961
Now, list down the factors of 2671
:1,2671
Greatest Common Factor
We found the factors 7961,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,2671 is 1.
Lets's calculate LCM of 629,5814
| 17 | 629, 5814 |
| 37, 342 |
∴ So the LCM of the given numbers is 17 x 37 x 342 = 215118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215118
Therefore, the GCF of Fractions 7961/629,2671/5814 is 1/215118
Least Common Multiple of 629,5814 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 629,5814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,5814) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(629,5814) x common factors =17 x 1 = 17
LCM(629,5814) = ( 629 × 5814 ) / 17
LCM(629,5814) = 3657006 / 17
LCM(629,5814) = 215118
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FAQs on GCF of Fractions of 7961/629, 2671/5814
1. What is the HCF of 7961,2671?
The HCF of 7961,2671 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 7961/629, 2671/5814?
Answer: GCF of Numerators as per given numbers 7961/629, 2671/5814 is
GCF of Numerators i.e. for 7961,2671 is 1
LCM of denominators i.e. for 629,5814 is 215118.
Thus, GCF of Fractions is 1/215118.Finally, GCF of Fractions for 7961/629, 2671/5814 is 1/215118.