Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3593/757,4118/4254
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 3593,4118
Greatest Common Factor of Numerators i.e. GCF of 3593,4118 is 1 .
LCM of Denominators means LCM of 757,4254 as per the given fractions.
LCM of 757,4254 is 3220278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3593,4118
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3593
List of positive integer factors of 3593 that divides 3593 without a remainder.
1,3593
Factors of 4118
List of positive integer factors of 4118 that divides 4118 without a remainder.
1,2,29,58,71,142,2059,4118
Greatest Common Factor
We found the factors 3593,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 3593,4118 is 1.
Lets's calculate LCM of 757,4254
Given numbers has no common factors except 1. So, there LCM is their product i.e 3220278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3220278
Therefore, the GCF of Fractions 3593/757,4118/4254 is 1/3220278
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 757,4254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,4254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,4254) x common factors =1 x 1 = 1
LCM(757,4254) = ( 757 × 4254 ) / 1
LCM(757,4254) = 3220278 / 1
LCM(757,4254) = 3220278
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 3593/757, 4118/4254?
Answer: GCF of Numerators as per given numbers 3593/757, 4118/4254 is
GCF of Numerators i.e. for 3593,4118 is 1
LCM of denominators i.e. for 757,4254 is 3220278.
Thus, GCF of Fractions is 1/3220278.Finally, GCF of Fractions for 3593/757, 4118/4254 is 1/3220278.