GCF of 2630/867, 7759/5339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2630/867, 7759/5339 i.e 1/4628913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2630/867, 7759/5339.
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 2630/867,7759/5339?
Given fractions are 2630/867,7759/5339
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 2630/867,7759/5339, numerators are 2630,7759
Denominators are 867,5339
The GCF of 2630,7759 is 1 .
LCM of 867,5339 is 4628913.
The greatest common factor of 2630/867,7759/5339 = [GCF of 2630,7759]/[LCM of 867,5339]= 1/4628913
Therefore, the GCF of 2630/867,7759/5339 is 1/4628913.
To find the highest common factor of 2630,7759, we have to find the factors of both numbers and list the highest common factor.
The factors of 2630 are 1, 2, 5, 10, 263, 526, 1315, 2630
The factors of 7759 are 1, 7759
The HCF of 2630,7759 is 1.
Lets's calculate GCF of 2630,7759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2630,7759 By Matching Biggest Common Factor Method
Now, list down the factors of 2630
:1,2,5,10,263,526,1315,2630
Now, list down the factors of 7759
:1,7759
Greatest Common Factor
We found the factors 2630,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 2630,7759 is 1.
Lets's calculate LCM of 867,5339
Given numbers has no common factors except 1. So, there LCM is their product i.e 4628913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4628913
Therefore, the GCF of Fractions 2630/867,7759/5339 is 1/4628913
Least Common Multiple of 867,5339 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 867,5339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,5339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,5339) x common factors =1 x 1 = 1
LCM(867,5339) = ( 867 × 5339 ) / 1
LCM(867,5339) = 4628913 / 1
LCM(867,5339) = 4628913
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2630/867, 7759/5339
1. What is the HCF of 2630,7759?
The HCF of 2630,7759 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 2630/867, 7759/5339?
Answer: GCF of Numerators as per given numbers 2630/867, 7759/5339 is
GCF of Numerators i.e. for 2630,7759 is 1
LCM of denominators i.e. for 867,5339 is 4628913.
Thus, GCF of Fractions is 1/4628913.Finally, GCF of Fractions for 2630/867, 7759/5339 is 1/4628913.