GCF of 3865/981, 1159/2942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3865/981, 1159/2942 i.e 1/2886102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3865/981, 1159/2942.
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 3865/981,1159/2942?
Given fractions are 3865/981,1159/2942
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 3865/981,1159/2942, numerators are 3865,1159
Denominators are 981,2942
The GCF of 3865,1159 is 1 .
LCM of 981,2942 is 2886102.
The greatest common factor of 3865/981,1159/2942 = [GCF of 3865,1159]/[LCM of 981,2942]= 1/2886102
Therefore, the GCF of 3865/981,1159/2942 is 1/2886102.
To find the highest common factor of 3865,1159, we have to find the factors of both numbers and list the highest common factor.
The factors of 3865 are 1, 5, 773, 3865
The factors of 1159 are 1, 19, 61, 1159
The HCF of 3865,1159 is 1.
Lets's calculate GCF of 3865,1159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3865,1159 By Matching Biggest Common Factor Method
Now, list down the factors of 3865
:1,5,773,3865
Now, list down the factors of 1159
:1,19,61,1159
Greatest Common Factor
We found the factors 3865,1159 . The biggest common factor number is the GCF number.
So the greatest common factor 3865,1159 is 1.
Lets's calculate LCM of 981,2942
Given numbers has no common factors except 1. So, there LCM is their product i.e 2886102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2886102
Therefore, the GCF of Fractions 3865/981,1159/2942 is 1/2886102
Least Common Multiple of 981,2942 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 981,2942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,2942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,2942) x common factors =1 x 1 = 1
LCM(981,2942) = ( 981 × 2942 ) / 1
LCM(981,2942) = 2886102 / 1
LCM(981,2942) = 2886102
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FAQs on GCF of Fractions of 3865/981, 1159/2942
1. What is the HCF of 3865,1159?
The HCF of 3865,1159 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 3865/981, 1159/2942?
Answer: GCF of Numerators as per given numbers 3865/981, 1159/2942 is
GCF of Numerators i.e. for 3865,1159 is 1
LCM of denominators i.e. for 981,2942 is 2886102.
Thus, GCF of Fractions is 1/2886102.Finally, GCF of Fractions for 3865/981, 1159/2942 is 1/2886102.