Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/191,5029/135
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 944,5029
Greatest Common Factor of Numerators i.e. GCF of 944,5029 is 1 .
LCM of Denominators means LCM of 191,135 as per the given fractions.
LCM of 191,135 is 25785 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,5029
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 5029
List of positive integer factors of 5029 that divides 5029 without a remainder.
1,47,107,5029
Greatest Common Factor
We found the factors 944,5029 . The biggest common factor number is the GCF number.
So the greatest common factor 944,5029 is 1.
Lets's calculate LCM of 191,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 25785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25785
Therefore, the GCF of Fractions 944/191,5029/135 is 1/25785
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 191,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,135) x common factors =1 x 1 = 1
LCM(191,135) = ( 191 × 135 ) / 1
LCM(191,135) = 25785 / 1
LCM(191,135) = 25785
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 944/191, 5029/135?
Answer: GCF of Numerators as per given numbers 944/191, 5029/135 is
GCF of Numerators i.e. for 944,5029 is 1
LCM of denominators i.e. for 191,135 is 25785.
Thus, GCF of Fractions is 1/25785.Finally, GCF of Fractions for 944/191, 5029/135 is 1/25785.