GCF of 5079/689, 8101/3760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5079/689, 8101/3760 i.e 1/2590640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5079/689, 8101/3760.
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 5079/689,8101/3760?
Given fractions are 5079/689,8101/3760
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 5079/689,8101/3760, numerators are 5079,8101
Denominators are 689,3760
The GCF of 5079,8101 is 1 .
LCM of 689,3760 is 2590640.
The greatest common factor of 5079/689,8101/3760 = [GCF of 5079,8101]/[LCM of 689,3760]= 1/2590640
Therefore, the GCF of 5079/689,8101/3760 is 1/2590640.
To find the highest common factor of 5079,8101, we have to find the factors of both numbers and list the highest common factor.
The factors of 5079 are 1, 3, 1693, 5079
The factors of 8101 are 1, 8101
The HCF of 5079,8101 is 1.
Lets's calculate GCF of 5079,8101
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5079,8101 By Matching Biggest Common Factor Method
Now, list down the factors of 5079
:1,3,1693,5079
Now, list down the factors of 8101
:1,8101
Greatest Common Factor
We found the factors 5079,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 5079,8101 is 1.
Lets's calculate LCM of 689,3760
Given numbers has no common factors except 1. So, there LCM is their product i.e 2590640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2590640
Therefore, the GCF of Fractions 5079/689,8101/3760 is 1/2590640
Least Common Multiple of 689,3760 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 689,3760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3760) x common factors =1 x 1 = 1
LCM(689,3760) = ( 689 × 3760 ) / 1
LCM(689,3760) = 2590640 / 1
LCM(689,3760) = 2590640
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FAQs on GCF of Fractions of 5079/689, 8101/3760
1. What is the HCF of 5079,8101?
The HCF of 5079,8101 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 5079/689, 8101/3760?
Answer: GCF of Numerators as per given numbers 5079/689, 8101/3760 is
GCF of Numerators i.e. for 5079,8101 is 1
LCM of denominators i.e. for 689,3760 is 2590640.
Thus, GCF of Fractions is 1/2590640.Finally, GCF of Fractions for 5079/689, 8101/3760 is 1/2590640.