Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5937/418,9285/4062
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 5937,9285
Greatest Common Factor of Numerators i.e. GCF of 5937,9285 is 3 .
LCM of Denominators means LCM of 418,4062 as per the given fractions.
LCM of 418,4062 is 848958 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5937,9285
3 | 5937, 9285 |
1979, 3095 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5937
List of positive integer factors of 5937 that divides 5937 without a remainder.
1,3,1979,5937
Factors of 9285
List of positive integer factors of 9285 that divides 9285 without a remainder.
1,3,5,15,619,1857,3095,9285
Greatest Common Factor
We found the factors 5937,9285 . The biggest common factor number is the GCF number.
So the greatest common factor 5937,9285 is 3.
Lets's calculate LCM of 418,4062
2 | 418, 4062 |
209, 2031 |
∴ So the LCM of the given numbers is 2 x 209 x 2031 = 848958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/848958
Therefore, the GCF of Fractions 5937/418,9285/4062 is 3/848958
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 418,4062 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,4062) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,4062) x common factors =2 x 1 = 2
LCM(418,4062) = ( 418 × 4062 ) / 2
LCM(418,4062) = 1697916 / 2
LCM(418,4062) = 848958
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 5937/418, 9285/4062?
Answer: GCF of Numerators as per given numbers 5937/418, 9285/4062 is
GCF of Numerators i.e. for 5937,9285 is 3
LCM of denominators i.e. for 418,4062 is 848958.
Thus, GCF of Fractions is 3/848958.Finally, GCF of Fractions for 5937/418, 9285/4062 is 3/848958.