GCF of 2877/382, 2759/116
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2877/382, 2759/116 i.e 1/22156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2877/382, 2759/116.
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 2877/382,2759/116?
Given fractions are 2877/382,2759/116
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 2877/382,2759/116, numerators are 2877,2759
Denominators are 382,116
The GCF of 2877,2759 is 1 .
LCM of 382,116 is 22156.
The greatest common factor of 2877/382,2759/116 = [GCF of 2877,2759]/[LCM of 382,116]= 1/22156
Therefore, the GCF of 2877/382,2759/116 is 1/22156.
To find the highest common factor of 2877,2759, we have to find the factors of both numbers and list the highest common factor.
The factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877
The factors of 2759 are 1, 31, 89, 2759
The HCF of 2877,2759 is 1.
Lets's calculate GCF of 2877,2759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2877,2759 By Matching Biggest Common Factor Method
Now, list down the factors of 2877
:1,3,7,21,137,411,959,2877
Now, list down the factors of 2759
:1,31,89,2759
Greatest Common Factor
We found the factors 2877,2759 . The biggest common factor number is the GCF number.
So the greatest common factor 2877,2759 is 1.
Lets's calculate LCM of 382,116
| 2 | 382, 116 |
| 191, 58 |
∴ So the LCM of the given numbers is 2 x 191 x 58 = 22156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22156
Therefore, the GCF of Fractions 2877/382,2759/116 is 1/22156
Least Common Multiple of 382,116 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 382,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,116) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,116) x common factors =2 x 1 = 2
LCM(382,116) = ( 382 × 116 ) / 2
LCM(382,116) = 44312 / 2
LCM(382,116) = 22156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2877/382, 2759/116
1. What is the HCF of 2877,2759?
The HCF of 2877,2759 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 2877/382, 2759/116?
Answer: GCF of Numerators as per given numbers 2877/382, 2759/116 is
GCF of Numerators i.e. for 2877,2759 is 1
LCM of denominators i.e. for 382,116 is 22156.
Thus, GCF of Fractions is 1/22156.Finally, GCF of Fractions for 2877/382, 2759/116 is 1/22156.