GCF of 5178/813, 7961/157
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5178/813, 7961/157 i.e 1/127641 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5178/813, 7961/157.
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 5178/813,7961/157?
Given fractions are 5178/813,7961/157
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 5178/813,7961/157, numerators are 5178,7961
Denominators are 813,157
The GCF of 5178,7961 is 1 .
LCM of 813,157 is 127641.
The greatest common factor of 5178/813,7961/157 = [GCF of 5178,7961]/[LCM of 813,157]= 1/127641
Therefore, the GCF of 5178/813,7961/157 is 1/127641.
To find the highest common factor of 5178,7961, we have to find the factors of both numbers and list the highest common factor.
The factors of 5178 are 1, 2, 3, 6, 863, 1726, 2589, 5178
The factors of 7961 are 1, 19, 419, 7961
The HCF of 5178,7961 is 1.
Lets's calculate GCF of 5178,7961
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5178,7961 By Matching Biggest Common Factor Method
Now, list down the factors of 5178
:1,2,3,6,863,1726,2589,5178
Now, list down the factors of 7961
:1,19,419,7961
Greatest Common Factor
We found the factors 5178,7961 . The biggest common factor number is the GCF number.
So the greatest common factor 5178,7961 is 1.
Lets's calculate LCM of 813,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 127641
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127641
Therefore, the GCF of Fractions 5178/813,7961/157 is 1/127641
Least Common Multiple of 813,157 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 813,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,157) x common factors =1 x 1 = 1
LCM(813,157) = ( 813 × 157 ) / 1
LCM(813,157) = 127641 / 1
LCM(813,157) = 127641
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FAQs on GCF of Fractions of 5178/813, 7961/157
1. What is the HCF of 5178,7961?
The HCF of 5178,7961 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 5178/813, 7961/157?
Answer: GCF of Numerators as per given numbers 5178/813, 7961/157 is
GCF of Numerators i.e. for 5178,7961 is 1
LCM of denominators i.e. for 813,157 is 127641.
Thus, GCF of Fractions is 1/127641.Finally, GCF of Fractions for 5178/813, 7961/157 is 1/127641.