GCF of 2491/102, 5118/2991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2491/102, 5118/2991 i.e 1/101694 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2491/102, 5118/2991.
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 2491/102,5118/2991?
Given fractions are 2491/102,5118/2991
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 2491/102,5118/2991, numerators are 2491,5118
Denominators are 102,2991
The GCF of 2491,5118 is 1 .
LCM of 102,2991 is 101694.
The greatest common factor of 2491/102,5118/2991 = [GCF of 2491,5118]/[LCM of 102,2991]= 1/101694
Therefore, the GCF of 2491/102,5118/2991 is 1/101694.
To find the highest common factor of 2491,5118, we have to find the factors of both numbers and list the highest common factor.
The factors of 2491 are 1, 47, 53, 2491
The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118
The HCF of 2491,5118 is 1.
Lets's calculate GCF of 2491,5118
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2491,5118 By Matching Biggest Common Factor Method
Now, list down the factors of 2491
:1,47,53,2491
Now, list down the factors of 5118
:1,2,3,6,853,1706,2559,5118
Greatest Common Factor
We found the factors 2491,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 2491,5118 is 1.
Lets's calculate LCM of 102,2991
| 3 | 102, 2991 |
| 34, 997 |
∴ So the LCM of the given numbers is 3 x 34 x 997 = 101694
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101694
Therefore, the GCF of Fractions 2491/102,5118/2991 is 1/101694
Least Common Multiple of 102,2991 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 102,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,2991) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(102,2991) x common factors =3 x 1 = 3
LCM(102,2991) = ( 102 × 2991 ) / 3
LCM(102,2991) = 305082 / 3
LCM(102,2991) = 101694
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2491/102, 5118/2991
1. What is the HCF of 2491,5118?
The HCF of 2491,5118 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 2491/102, 5118/2991?
Answer: GCF of Numerators as per given numbers 2491/102, 5118/2991 is
GCF of Numerators i.e. for 2491,5118 is 1
LCM of denominators i.e. for 102,2991 is 101694.
Thus, GCF of Fractions is 1/101694.Finally, GCF of Fractions for 2491/102, 5118/2991 is 1/101694.