GCF of 2917/913, 2131/5651
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2917/913, 2131/5651 i.e 1/5159363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2917/913, 2131/5651.
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 2917/913,2131/5651?
Given fractions are 2917/913,2131/5651
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 2917/913,2131/5651, numerators are 2917,2131
Denominators are 913,5651
The GCF of 2917,2131 is 1 .
LCM of 913,5651 is 5159363.
The greatest common factor of 2917/913,2131/5651 = [GCF of 2917,2131]/[LCM of 913,5651]= 1/5159363
Therefore, the GCF of 2917/913,2131/5651 is 1/5159363.
To find the highest common factor of 2917,2131, we have to find the factors of both numbers and list the highest common factor.
The factors of 2917 are 1, 2917
The factors of 2131 are 1, 2131
The HCF of 2917,2131 is 1.
Lets's calculate GCF of 2917,2131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2917,2131 By Matching Biggest Common Factor Method
Now, list down the factors of 2917
:1,2917
Now, list down the factors of 2131
:1,2131
Greatest Common Factor
We found the factors 2917,2131 . The biggest common factor number is the GCF number.
So the greatest common factor 2917,2131 is 1.
Lets's calculate LCM of 913,5651
Given numbers has no common factors except 1. So, there LCM is their product i.e 5159363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5159363
Therefore, the GCF of Fractions 2917/913,2131/5651 is 1/5159363
Least Common Multiple of 913,5651 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 913,5651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,5651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,5651) x common factors =1 x 1 = 1
LCM(913,5651) = ( 913 × 5651 ) / 1
LCM(913,5651) = 5159363 / 1
LCM(913,5651) = 5159363
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2917/913, 2131/5651
1. What is the HCF of 2917,2131?
The HCF of 2917,2131 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 2917/913, 2131/5651?
Answer: GCF of Numerators as per given numbers 2917/913, 2131/5651 is
GCF of Numerators i.e. for 2917,2131 is 1
LCM of denominators i.e. for 913,5651 is 5159363.
Thus, GCF of Fractions is 1/5159363.Finally, GCF of Fractions for 2917/913, 2131/5651 is 1/5159363.