GCF of 8131/735, 5653/3779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8131/735, 5653/3779 i.e 1/2777565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8131/735, 5653/3779.
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 8131/735,5653/3779?
Given fractions are 8131/735,5653/3779
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 8131/735,5653/3779, numerators are 8131,5653
Denominators are 735,3779
The GCF of 8131,5653 is 1 .
LCM of 735,3779 is 2777565.
The greatest common factor of 8131/735,5653/3779 = [GCF of 8131,5653]/[LCM of 735,3779]= 1/2777565
Therefore, the GCF of 8131/735,5653/3779 is 1/2777565.
To find the highest common factor of 8131,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 8131 are 1, 47, 173, 8131
The factors of 5653 are 1, 5653
The HCF of 8131,5653 is 1.
Lets's calculate GCF of 8131,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8131,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 8131
:1,47,173,8131
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 8131,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,5653 is 1.
Lets's calculate LCM of 735,3779
Given numbers has no common factors except 1. So, there LCM is their product i.e 2777565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2777565
Therefore, the GCF of Fractions 8131/735,5653/3779 is 1/2777565
Least Common Multiple of 735,3779 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 735,3779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,3779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,3779) x common factors =1 x 1 = 1
LCM(735,3779) = ( 735 × 3779 ) / 1
LCM(735,3779) = 2777565 / 1
LCM(735,3779) = 2777565
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FAQs on GCF of Fractions of 8131/735, 5653/3779
1. What is the HCF of 8131,5653?
The HCF of 8131,5653 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 8131/735, 5653/3779?
Answer: GCF of Numerators as per given numbers 8131/735, 5653/3779 is
GCF of Numerators i.e. for 8131,5653 is 1
LCM of denominators i.e. for 735,3779 is 2777565.
Thus, GCF of Fractions is 1/2777565.Finally, GCF of Fractions for 8131/735, 5653/3779 is 1/2777565.