GCF of 2891/910, 9652/3181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2891/910, 9652/3181 i.e 1/2894710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2891/910, 9652/3181.
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 2891/910,9652/3181?
Given fractions are 2891/910,9652/3181
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 2891/910,9652/3181, numerators are 2891,9652
Denominators are 910,3181
The GCF of 2891,9652 is 1 .
LCM of 910,3181 is 2894710.
The greatest common factor of 2891/910,9652/3181 = [GCF of 2891,9652]/[LCM of 910,3181]= 1/2894710
Therefore, the GCF of 2891/910,9652/3181 is 1/2894710.
To find the highest common factor of 2891,9652, we have to find the factors of both numbers and list the highest common factor.
The factors of 2891 are 1, 7, 49, 59, 413, 2891
The factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652
The HCF of 2891,9652 is 1.
Lets's calculate GCF of 2891,9652
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2891,9652 By Matching Biggest Common Factor Method
Now, list down the factors of 2891
:1,7,49,59,413,2891
Now, list down the factors of 9652
:1,2,4,19,38,76,127,254,508,2413,4826,9652
Greatest Common Factor
We found the factors 2891,9652 . The biggest common factor number is the GCF number.
So the greatest common factor 2891,9652 is 1.
Lets's calculate LCM of 910,3181
Given numbers has no common factors except 1. So, there LCM is their product i.e 2894710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2894710
Therefore, the GCF of Fractions 2891/910,9652/3181 is 1/2894710
Least Common Multiple of 910,3181 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 910,3181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,3181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,3181) x common factors =1 x 1 = 1
LCM(910,3181) = ( 910 × 3181 ) / 1
LCM(910,3181) = 2894710 / 1
LCM(910,3181) = 2894710
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FAQs on GCF of Fractions of 2891/910, 9652/3181
1. What is the HCF of 2891,9652?
The HCF of 2891,9652 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 2891/910, 9652/3181?
Answer: GCF of Numerators as per given numbers 2891/910, 9652/3181 is
GCF of Numerators i.e. for 2891,9652 is 1
LCM of denominators i.e. for 910,3181 is 2894710.
Thus, GCF of Fractions is 1/2894710.Finally, GCF of Fractions for 2891/910, 9652/3181 is 1/2894710.