Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/491,2568/7041
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 751,2568
Greatest Common Factor of Numerators i.e. GCF of 751,2568 is 1 .
LCM of Denominators means LCM of 491,7041 as per the given fractions.
LCM of 491,7041 is 3457131 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 751,2568
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 2568
List of positive integer factors of 2568 that divides 2568 without a remainder.
1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Greatest Common Factor
We found the factors 751,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 751,2568 is 1.
Lets's calculate LCM of 491,7041
Given numbers has no common factors except 1. So, there LCM is their product i.e 3457131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3457131
Therefore, the GCF of Fractions 751/491,2568/7041 is 1/3457131
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 491,7041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,7041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,7041) x common factors =1 x 1 = 1
LCM(491,7041) = ( 491 × 7041 ) / 1
LCM(491,7041) = 3457131 / 1
LCM(491,7041) = 3457131
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 751/491, 2568/7041?
Answer: GCF of Numerators as per given numbers 751/491, 2568/7041 is
GCF of Numerators i.e. for 751,2568 is 1
LCM of denominators i.e. for 491,7041 is 3457131.
Thus, GCF of Fractions is 1/3457131.Finally, GCF of Fractions for 751/491, 2568/7041 is 1/3457131.