GCF of 2678/959, 8734/7131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2678/959, 8734/7131 i.e 2/6838629 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2678/959, 8734/7131.
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 2678/959,8734/7131?
Given fractions are 2678/959,8734/7131
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 2678/959,8734/7131, numerators are 2678,8734
Denominators are 959,7131
The GCF of 2678,8734 is 2 .
LCM of 959,7131 is 6838629.
The greatest common factor of 2678/959,8734/7131 = [GCF of 2678,8734]/[LCM of 959,7131]= 2/6838629
Therefore, the GCF of 2678/959,8734/7131 is 2/6838629.
To find the highest common factor of 2678,8734, we have to find the factors of both numbers and list the highest common factor.
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The factors of 8734 are 1, 2, 11, 22, 397, 794, 4367, 8734
The HCF of 2678,8734 is 2.
Lets's calculate GCF of 2678,8734
| 2 | 2678, 8734 |
| 1339, 4367 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2678,8734 By Matching Biggest Common Factor Method
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Now, list down the factors of 8734
:1,2,11,22,397,794,4367,8734
Greatest Common Factor
We found the factors 2678,8734 . The biggest common factor number is the GCF number.
So the greatest common factor 2678,8734 is 2.
Lets's calculate LCM of 959,7131
Given numbers has no common factors except 1. So, there LCM is their product i.e 6838629
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6838629
Therefore, the GCF of Fractions 2678/959,8734/7131 is 2/6838629
Least Common Multiple of 959,7131 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 959,7131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,7131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,7131) x common factors =1 x 1 = 1
LCM(959,7131) = ( 959 × 7131 ) / 1
LCM(959,7131) = 6838629 / 1
LCM(959,7131) = 6838629
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2678/959, 8734/7131
1. What is the HCF of 2678,8734?
The HCF of 2678,8734 is 2
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 2678/959, 8734/7131?
Answer: GCF of Numerators as per given numbers 2678/959, 8734/7131 is
GCF of Numerators i.e. for 2678,8734 is 2
LCM of denominators i.e. for 959,7131 is 6838629.
Thus, GCF of Fractions is 2/6838629.Finally, GCF of Fractions for 2678/959, 8734/7131 is 2/6838629.