GCF of 5102/283, 1941/989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5102/283, 1941/989 i.e 1/279887 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5102/283, 1941/989.
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 5102/283,1941/989?
Given fractions are 5102/283,1941/989
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 5102/283,1941/989, numerators are 5102,1941
Denominators are 283,989
The GCF of 5102,1941 is 1 .
LCM of 283,989 is 279887.
The greatest common factor of 5102/283,1941/989 = [GCF of 5102,1941]/[LCM of 283,989]= 1/279887
Therefore, the GCF of 5102/283,1941/989 is 1/279887.
To find the highest common factor of 5102,1941, we have to find the factors of both numbers and list the highest common factor.
The factors of 5102 are 1, 2, 2551, 5102
The factors of 1941 are 1, 3, 647, 1941
The HCF of 5102,1941 is 1.
Lets's calculate GCF of 5102,1941
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5102,1941 By Matching Biggest Common Factor Method
Now, list down the factors of 5102
:1,2,2551,5102
Now, list down the factors of 1941
:1,3,647,1941
Greatest Common Factor
We found the factors 5102,1941 . The biggest common factor number is the GCF number.
So the greatest common factor 5102,1941 is 1.
Lets's calculate LCM of 283,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 279887
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279887
Therefore, the GCF of Fractions 5102/283,1941/989 is 1/279887
Least Common Multiple of 283,989 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 283,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,989) x common factors =1 x 1 = 1
LCM(283,989) = ( 283 × 989 ) / 1
LCM(283,989) = 279887 / 1
LCM(283,989) = 279887
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FAQs on GCF of Fractions of 5102/283, 1941/989
1. What is the HCF of 5102,1941?
The HCF of 5102,1941 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 5102/283, 1941/989?
Answer: GCF of Numerators as per given numbers 5102/283, 1941/989 is
GCF of Numerators i.e. for 5102,1941 is 1
LCM of denominators i.e. for 283,989 is 279887.
Thus, GCF of Fractions is 1/279887.Finally, GCF of Fractions for 5102/283, 1941/989 is 1/279887.