GCF of 8711/880, 7871/6807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8711/880, 7871/6807 i.e 1/5990160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8711/880, 7871/6807.
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 8711/880,7871/6807?
Given fractions are 8711/880,7871/6807
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 8711/880,7871/6807, numerators are 8711,7871
Denominators are 880,6807
The GCF of 8711,7871 is 1 .
LCM of 880,6807 is 5990160.
The greatest common factor of 8711/880,7871/6807 = [GCF of 8711,7871]/[LCM of 880,6807]= 1/5990160
Therefore, the GCF of 8711/880,7871/6807 is 1/5990160.
To find the highest common factor of 8711,7871, we have to find the factors of both numbers and list the highest common factor.
The factors of 8711 are 1, 31, 281, 8711
The factors of 7871 are 1, 17, 463, 7871
The HCF of 8711,7871 is 1.
Lets's calculate GCF of 8711,7871
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8711,7871 By Matching Biggest Common Factor Method
Now, list down the factors of 8711
:1,31,281,8711
Now, list down the factors of 7871
:1,17,463,7871
Greatest Common Factor
We found the factors 8711,7871 . The biggest common factor number is the GCF number.
So the greatest common factor 8711,7871 is 1.
Lets's calculate LCM of 880,6807
Given numbers has no common factors except 1. So, there LCM is their product i.e 5990160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5990160
Therefore, the GCF of Fractions 8711/880,7871/6807 is 1/5990160
Least Common Multiple of 880,6807 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 880,6807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,6807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,6807) x common factors =1 x 1 = 1
LCM(880,6807) = ( 880 × 6807 ) / 1
LCM(880,6807) = 5990160 / 1
LCM(880,6807) = 5990160
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FAQs on GCF of Fractions of 8711/880, 7871/6807
1. What is the HCF of 8711,7871?
The HCF of 8711,7871 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 8711/880, 7871/6807?
Answer: GCF of Numerators as per given numbers 8711/880, 7871/6807 is
GCF of Numerators i.e. for 8711,7871 is 1
LCM of denominators i.e. for 880,6807 is 5990160.
Thus, GCF of Fractions is 1/5990160.Finally, GCF of Fractions for 8711/880, 7871/6807 is 1/5990160.