GCF of 876/982, 8371/883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 876/982, 8371/883 i.e 1/867106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 876/982, 8371/883.
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 876/982,8371/883?
Given fractions are 876/982,8371/883
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 876/982,8371/883, numerators are 876,8371
Denominators are 982,883
The GCF of 876,8371 is 1 .
LCM of 982,883 is 867106.
The greatest common factor of 876/982,8371/883 = [GCF of 876,8371]/[LCM of 982,883]= 1/867106
Therefore, the GCF of 876/982,8371/883 is 1/867106.
To find the highest common factor of 876,8371, we have to find the factors of both numbers and list the highest common factor.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
The factors of 8371 are 1, 11, 761, 8371
The HCF of 876,8371 is 1.
Lets's calculate GCF of 876,8371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 876,8371 By Matching Biggest Common Factor Method
Now, list down the factors of 876
:1,2,3,4,6,12,73,146,219,292,438,876
Now, list down the factors of 8371
:1,11,761,8371
Greatest Common Factor
We found the factors 876,8371 . The biggest common factor number is the GCF number.
So the greatest common factor 876,8371 is 1.
Lets's calculate LCM of 982,883
Given numbers has no common factors except 1. So, there LCM is their product i.e 867106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/867106
Therefore, the GCF of Fractions 876/982,8371/883 is 1/867106
Least Common Multiple of 982,883 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 982,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(982,883) x common factors =1 x 1 = 1
LCM(982,883) = ( 982 × 883 ) / 1
LCM(982,883) = 867106 / 1
LCM(982,883) = 867106
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FAQs on GCF of Fractions of 876/982, 8371/883
1. What is the HCF of 876,8371?
The HCF of 876,8371 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 876/982, 8371/883?
Answer: GCF of Numerators as per given numbers 876/982, 8371/883 is
GCF of Numerators i.e. for 876,8371 is 1
LCM of denominators i.e. for 982,883 is 867106.
Thus, GCF of Fractions is 1/867106.Finally, GCF of Fractions for 876/982, 8371/883 is 1/867106.