Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7751/571,9857/1313
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7751,9857
Greatest Common Factor of Numerators i.e. GCF of 7751,9857 is 1 .
LCM of Denominators means LCM of 571,1313 as per the given fractions.
LCM of 571,1313 is 749723 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7751,9857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7751
List of positive integer factors of 7751 that divides 7751 without a remainder.
1,23,337,7751
Factors of 9857
List of positive integer factors of 9857 that divides 9857 without a remainder.
1,9857
Greatest Common Factor
We found the factors 7751,9857 . The biggest common factor number is the GCF number.
So the greatest common factor 7751,9857 is 1.
Lets's calculate LCM of 571,1313
Given numbers has no common factors except 1. So, there LCM is their product i.e 749723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749723
Therefore, the GCF of Fractions 7751/571,9857/1313 is 1/749723
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 571,1313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(571,1313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(571,1313) x common factors =1 x 1 = 1
LCM(571,1313) = ( 571 × 1313 ) / 1
LCM(571,1313) = 749723 / 1
LCM(571,1313) = 749723
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7751/571, 9857/1313?
Answer: GCF of Numerators as per given numbers 7751/571, 9857/1313 is
GCF of Numerators i.e. for 7751,9857 is 1
LCM of denominators i.e. for 571,1313 is 749723.
Thus, GCF of Fractions is 1/749723.Finally, GCF of Fractions for 7751/571, 9857/1313 is 1/749723.