Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2137/863,9103/888
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 2137,9103
Greatest Common Factor of Numerators i.e. GCF of 2137,9103 is 1 .
LCM of Denominators means LCM of 863,888 as per the given fractions.
LCM of 863,888 is 766344 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2137,9103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2137
List of positive integer factors of 2137 that divides 2137 without a remainder.
1,2137
Factors of 9103
List of positive integer factors of 9103 that divides 9103 without a remainder.
1,9103
Greatest Common Factor
We found the factors 2137,9103 . The biggest common factor number is the GCF number.
So the greatest common factor 2137,9103 is 1.
Lets's calculate LCM of 863,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 766344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766344
Therefore, the GCF of Fractions 2137/863,9103/888 is 1/766344
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 863,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,888) x common factors =1 x 1 = 1
LCM(863,888) = ( 863 × 888 ) / 1
LCM(863,888) = 766344 / 1
LCM(863,888) = 766344
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 2137/863, 9103/888?
Answer: GCF of Numerators as per given numbers 2137/863, 9103/888 is
GCF of Numerators i.e. for 2137,9103 is 1
LCM of denominators i.e. for 863,888 is 766344.
Thus, GCF of Fractions is 1/766344.Finally, GCF of Fractions for 2137/863, 9103/888 is 1/766344.