GCF of 6891/989, 4990/1529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6891/989, 4990/1529 i.e 1/1512181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6891/989, 4990/1529.
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 6891/989,4990/1529?
Given fractions are 6891/989,4990/1529
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 6891/989,4990/1529, numerators are 6891,4990
Denominators are 989,1529
The GCF of 6891,4990 is 1 .
LCM of 989,1529 is 1512181.
The greatest common factor of 6891/989,4990/1529 = [GCF of 6891,4990]/[LCM of 989,1529]= 1/1512181
Therefore, the GCF of 6891/989,4990/1529 is 1/1512181.
To find the highest common factor of 6891,4990, we have to find the factors of both numbers and list the highest common factor.
The factors of 6891 are 1, 3, 2297, 6891
The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The HCF of 6891,4990 is 1.
Lets's calculate GCF of 6891,4990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6891,4990 By Matching Biggest Common Factor Method
Now, list down the factors of 6891
:1,3,2297,6891
Now, list down the factors of 4990
:1,2,5,10,499,998,2495,4990
Greatest Common Factor
We found the factors 6891,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 6891,4990 is 1.
Lets's calculate LCM of 989,1529
Given numbers has no common factors except 1. So, there LCM is their product i.e 1512181
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1512181
Therefore, the GCF of Fractions 6891/989,4990/1529 is 1/1512181
Least Common Multiple of 989,1529 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 989,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,1529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,1529) x common factors =1 x 1 = 1
LCM(989,1529) = ( 989 × 1529 ) / 1
LCM(989,1529) = 1512181 / 1
LCM(989,1529) = 1512181
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FAQs on GCF of Fractions of 6891/989, 4990/1529
1. What is the HCF of 6891,4990?
The HCF of 6891,4990 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 6891/989, 4990/1529?
Answer: GCF of Numerators as per given numbers 6891/989, 4990/1529 is
GCF of Numerators i.e. for 6891,4990 is 1
LCM of denominators i.e. for 989,1529 is 1512181.
Thus, GCF of Fractions is 1/1512181.Finally, GCF of Fractions for 6891/989, 4990/1529 is 1/1512181.