GCF of 7797/721, 9868/5829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7797/721, 9868/5829 i.e 1/4202709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7797/721, 9868/5829.
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 7797/721,9868/5829?
Given fractions are 7797/721,9868/5829
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 7797/721,9868/5829, numerators are 7797,9868
Denominators are 721,5829
The GCF of 7797,9868 is 1 .
LCM of 721,5829 is 4202709.
The greatest common factor of 7797/721,9868/5829 = [GCF of 7797,9868]/[LCM of 721,5829]= 1/4202709
Therefore, the GCF of 7797/721,9868/5829 is 1/4202709.
To find the highest common factor of 7797,9868, we have to find the factors of both numbers and list the highest common factor.
The factors of 7797 are 1, 3, 23, 69, 113, 339, 2599, 7797
The factors of 9868 are 1, 2, 4, 2467, 4934, 9868
The HCF of 7797,9868 is 1.
Lets's calculate GCF of 7797,9868
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7797,9868 By Matching Biggest Common Factor Method
Now, list down the factors of 7797
:1,3,23,69,113,339,2599,7797
Now, list down the factors of 9868
:1,2,4,2467,4934,9868
Greatest Common Factor
We found the factors 7797,9868 . The biggest common factor number is the GCF number.
So the greatest common factor 7797,9868 is 1.
Lets's calculate LCM of 721,5829
Given numbers has no common factors except 1. So, there LCM is their product i.e 4202709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4202709
Therefore, the GCF of Fractions 7797/721,9868/5829 is 1/4202709
Least Common Multiple of 721,5829 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 721,5829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,5829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,5829) x common factors =1 x 1 = 1
LCM(721,5829) = ( 721 × 5829 ) / 1
LCM(721,5829) = 4202709 / 1
LCM(721,5829) = 4202709
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FAQs on GCF of Fractions of 7797/721, 9868/5829
1. What is the HCF of 7797,9868?
The HCF of 7797,9868 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 7797/721, 9868/5829?
Answer: GCF of Numerators as per given numbers 7797/721, 9868/5829 is
GCF of Numerators i.e. for 7797,9868 is 1
LCM of denominators i.e. for 721,5829 is 4202709.
Thus, GCF of Fractions is 1/4202709.Finally, GCF of Fractions for 7797/721, 9868/5829 is 1/4202709.