GCF of 7951/502, 8596/4481
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7951/502, 8596/4481 i.e 1/2249462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7951/502, 8596/4481.
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 7951/502,8596/4481?
Given fractions are 7951/502,8596/4481
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 7951/502,8596/4481, numerators are 7951,8596
Denominators are 502,4481
The GCF of 7951,8596 is 1 .
LCM of 502,4481 is 2249462.
The greatest common factor of 7951/502,8596/4481 = [GCF of 7951,8596]/[LCM of 502,4481]= 1/2249462
Therefore, the GCF of 7951/502,8596/4481 is 1/2249462.
To find the highest common factor of 7951,8596, we have to find the factors of both numbers and list the highest common factor.
The factors of 7951 are 1, 7951
The factors of 8596 are 1, 2, 4, 7, 14, 28, 307, 614, 1228, 2149, 4298, 8596
The HCF of 7951,8596 is 1.
Lets's calculate GCF of 7951,8596
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7951,8596 By Matching Biggest Common Factor Method
Now, list down the factors of 7951
:1,7951
Now, list down the factors of 8596
:1,2,4,7,14,28,307,614,1228,2149,4298,8596
Greatest Common Factor
We found the factors 7951,8596 . The biggest common factor number is the GCF number.
So the greatest common factor 7951,8596 is 1.
Lets's calculate LCM of 502,4481
Given numbers has no common factors except 1. So, there LCM is their product i.e 2249462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2249462
Therefore, the GCF of Fractions 7951/502,8596/4481 is 1/2249462
Least Common Multiple of 502,4481 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 502,4481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,4481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,4481) x common factors =1 x 1 = 1
LCM(502,4481) = ( 502 × 4481 ) / 1
LCM(502,4481) = 2249462 / 1
LCM(502,4481) = 2249462
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7951/502, 8596/4481
1. What is the HCF of 7951,8596?
The HCF of 7951,8596 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 7951/502, 8596/4481?
Answer: GCF of Numerators as per given numbers 7951/502, 8596/4481 is
GCF of Numerators i.e. for 7951,8596 is 1
LCM of denominators i.e. for 502,4481 is 2249462.
Thus, GCF of Fractions is 1/2249462.Finally, GCF of Fractions for 7951/502, 8596/4481 is 1/2249462.