GCF of 4949/131, 6379/612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4949/131, 6379/612 i.e 1/80172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4949/131, 6379/612.
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 4949/131,6379/612?
Given fractions are 4949/131,6379/612
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 4949/131,6379/612, numerators are 4949,6379
Denominators are 131,612
The GCF of 4949,6379 is 1 .
LCM of 131,612 is 80172.
The greatest common factor of 4949/131,6379/612 = [GCF of 4949,6379]/[LCM of 131,612]= 1/80172
Therefore, the GCF of 4949/131,6379/612 is 1/80172.
To find the highest common factor of 4949,6379, we have to find the factors of both numbers and list the highest common factor.
The factors of 4949 are 1, 7, 49, 101, 707, 4949
The factors of 6379 are 1, 6379
The HCF of 4949,6379 is 1.
Lets's calculate GCF of 4949,6379
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4949,6379 By Matching Biggest Common Factor Method
Now, list down the factors of 4949
:1,7,49,101,707,4949
Now, list down the factors of 6379
:1,6379
Greatest Common Factor
We found the factors 4949,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 4949,6379 is 1.
Lets's calculate LCM of 131,612
Given numbers has no common factors except 1. So, there LCM is their product i.e 80172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80172
Therefore, the GCF of Fractions 4949/131,6379/612 is 1/80172
Least Common Multiple of 131,612 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 131,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,612) x common factors =1 x 1 = 1
LCM(131,612) = ( 131 × 612 ) / 1
LCM(131,612) = 80172 / 1
LCM(131,612) = 80172
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FAQs on GCF of Fractions of 4949/131, 6379/612
1. What is the HCF of 4949,6379?
The HCF of 4949,6379 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 4949/131, 6379/612?
Answer: GCF of Numerators as per given numbers 4949/131, 6379/612 is
GCF of Numerators i.e. for 4949,6379 is 1
LCM of denominators i.e. for 131,612 is 80172.
Thus, GCF of Fractions is 1/80172.Finally, GCF of Fractions for 4949/131, 6379/612 is 1/80172.