GCF of 5061/875, 6481/2134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5061/875, 6481/2134 i.e 1/1867250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5061/875, 6481/2134.
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 5061/875,6481/2134?
Given fractions are 5061/875,6481/2134
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 5061/875,6481/2134, numerators are 5061,6481
Denominators are 875,2134
The GCF of 5061,6481 is 1 .
LCM of 875,2134 is 1867250.
The greatest common factor of 5061/875,6481/2134 = [GCF of 5061,6481]/[LCM of 875,2134]= 1/1867250
Therefore, the GCF of 5061/875,6481/2134 is 1/1867250.
To find the highest common factor of 5061,6481, we have to find the factors of both numbers and list the highest common factor.
The factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061
The factors of 6481 are 1, 6481
The HCF of 5061,6481 is 1.
Lets's calculate GCF of 5061,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5061,6481 By Matching Biggest Common Factor Method
Now, list down the factors of 5061
:1,3,7,21,241,723,1687,5061
Now, list down the factors of 6481
:1,6481
Greatest Common Factor
We found the factors 5061,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 5061,6481 is 1.
Lets's calculate LCM of 875,2134
Given numbers has no common factors except 1. So, there LCM is their product i.e 1867250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1867250
Therefore, the GCF of Fractions 5061/875,6481/2134 is 1/1867250
Least Common Multiple of 875,2134 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 875,2134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,2134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,2134) x common factors =1 x 1 = 1
LCM(875,2134) = ( 875 × 2134 ) / 1
LCM(875,2134) = 1867250 / 1
LCM(875,2134) = 1867250
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FAQs on GCF of Fractions of 5061/875, 6481/2134
1. What is the HCF of 5061,6481?
The HCF of 5061,6481 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 5061/875, 6481/2134?
Answer: GCF of Numerators as per given numbers 5061/875, 6481/2134 is
GCF of Numerators i.e. for 5061,6481 is 1
LCM of denominators i.e. for 875,2134 is 1867250.
Thus, GCF of Fractions is 1/1867250.Finally, GCF of Fractions for 5061/875, 6481/2134 is 1/1867250.