GCF of 6261/632, 6157/7895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6261/632, 6157/7895 i.e 1/4989640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6261/632, 6157/7895.
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 6261/632,6157/7895?
Given fractions are 6261/632,6157/7895
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 6261/632,6157/7895, numerators are 6261,6157
Denominators are 632,7895
The GCF of 6261,6157 is 1 .
LCM of 632,7895 is 4989640.
The greatest common factor of 6261/632,6157/7895 = [GCF of 6261,6157]/[LCM of 632,7895]= 1/4989640
Therefore, the GCF of 6261/632,6157/7895 is 1/4989640.
To find the highest common factor of 6261,6157, we have to find the factors of both numbers and list the highest common factor.
The factors of 6261 are 1, 3, 2087, 6261
The factors of 6157 are 1, 47, 131, 6157
The HCF of 6261,6157 is 1.
Lets's calculate GCF of 6261,6157
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6261,6157 By Matching Biggest Common Factor Method
Now, list down the factors of 6261
:1,3,2087,6261
Now, list down the factors of 6157
:1,47,131,6157
Greatest Common Factor
We found the factors 6261,6157 . The biggest common factor number is the GCF number.
So the greatest common factor 6261,6157 is 1.
Lets's calculate LCM of 632,7895
Given numbers has no common factors except 1. So, there LCM is their product i.e 4989640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4989640
Therefore, the GCF of Fractions 6261/632,6157/7895 is 1/4989640
Least Common Multiple of 632,7895 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 632,7895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,7895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,7895) x common factors =1 x 1 = 1
LCM(632,7895) = ( 632 × 7895 ) / 1
LCM(632,7895) = 4989640 / 1
LCM(632,7895) = 4989640
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FAQs on GCF of Fractions of 6261/632, 6157/7895
1. What is the HCF of 6261,6157?
The HCF of 6261,6157 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 6261/632, 6157/7895?
Answer: GCF of Numerators as per given numbers 6261/632, 6157/7895 is
GCF of Numerators i.e. for 6261,6157 is 1
LCM of denominators i.e. for 632,7895 is 4989640.
Thus, GCF of Fractions is 1/4989640.Finally, GCF of Fractions for 6261/632, 6157/7895 is 1/4989640.