Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7493/721,2094/3692
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 7493,2094
Greatest Common Factor of Numerators i.e. GCF of 7493,2094 is 1 .
LCM of Denominators means LCM of 721,3692 as per the given fractions.
LCM of 721,3692 is 2661932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7493,2094
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7493
List of positive integer factors of 7493 that divides 7493 without a remainder.
1,59,127,7493
Factors of 2094
List of positive integer factors of 2094 that divides 2094 without a remainder.
1,2,3,6,349,698,1047,2094
Greatest Common Factor
We found the factors 7493,2094 . The biggest common factor number is the GCF number.
So the greatest common factor 7493,2094 is 1.
Lets's calculate LCM of 721,3692
Given numbers has no common factors except 1. So, there LCM is their product i.e 2661932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2661932
Therefore, the GCF of Fractions 7493/721,2094/3692 is 1/2661932
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 721,3692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,3692) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,3692) x common factors =1 x 1 = 1
LCM(721,3692) = ( 721 × 3692 ) / 1
LCM(721,3692) = 2661932 / 1
LCM(721,3692) = 2661932
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 7493/721, 2094/3692?
Answer: GCF of Numerators as per given numbers 7493/721, 2094/3692 is
GCF of Numerators i.e. for 7493,2094 is 1
LCM of denominators i.e. for 721,3692 is 2661932.
Thus, GCF of Fractions is 1/2661932.Finally, GCF of Fractions for 7493/721, 2094/3692 is 1/2661932.