GCF of 8981/979, 2275/2711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8981/979, 2275/2711 i.e 7/2654069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8981/979, 2275/2711.
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 8981/979,2275/2711?
Given fractions are 8981/979,2275/2711
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 8981/979,2275/2711, numerators are 8981,2275
Denominators are 979,2711
The GCF of 8981,2275 is 7 .
LCM of 979,2711 is 2654069.
The greatest common factor of 8981/979,2275/2711 = [GCF of 8981,2275]/[LCM of 979,2711]= 7/2654069
Therefore, the GCF of 8981/979,2275/2711 is 7/2654069.
To find the highest common factor of 8981,2275, we have to find the factors of both numbers and list the highest common factor.
The factors of 8981 are 1, 7, 1283, 8981
The factors of 2275 are 1, 5, 7, 13, 25, 35, 65, 91, 175, 325, 455, 2275
The HCF of 8981,2275 is 7.
Lets's calculate GCF of 8981,2275
| 7 | 8981, 2275 |
| 1283, 325 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8981,2275 By Matching Biggest Common Factor Method
Now, list down the factors of 8981
:1,7,1283,8981
Now, list down the factors of 2275
:1,5,7,13,25,35,65,91,175,325,455,2275
Greatest Common Factor
We found the factors 8981,2275 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,2275 is 7.
Lets's calculate LCM of 979,2711
Given numbers has no common factors except 1. So, there LCM is their product i.e 2654069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2654069
Therefore, the GCF of Fractions 8981/979,2275/2711 is 7/2654069
Least Common Multiple of 979,2711 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 979,2711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,2711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,2711) x common factors =1 x 1 = 1
LCM(979,2711) = ( 979 × 2711 ) / 1
LCM(979,2711) = 2654069 / 1
LCM(979,2711) = 2654069
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8981/979, 2275/2711
1. What is the HCF of 8981,2275?
The HCF of 8981,2275 is 7
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 8981/979, 2275/2711?
Answer: GCF of Numerators as per given numbers 8981/979, 2275/2711 is
GCF of Numerators i.e. for 8981,2275 is 7
LCM of denominators i.e. for 979,2711 is 2654069.
Thus, GCF of Fractions is 7/2654069.Finally, GCF of Fractions for 8981/979, 2275/2711 is 7/2654069.