Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3137/895,6117/903
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 3137,6117
Greatest Common Factor of Numerators i.e. GCF of 3137,6117 is 1 .
LCM of Denominators means LCM of 895,903 as per the given fractions.
LCM of 895,903 is 808185 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3137,6117
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3137
List of positive integer factors of 3137 that divides 3137 without a remainder.
1,3137
Factors of 6117
List of positive integer factors of 6117 that divides 6117 without a remainder.
1,3,2039,6117
Greatest Common Factor
We found the factors 3137,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 3137,6117 is 1.
Lets's calculate LCM of 895,903
Given numbers has no common factors except 1. So, there LCM is their product i.e 808185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/808185
Therefore, the GCF of Fractions 3137/895,6117/903 is 1/808185
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 895,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,903) x common factors =1 x 1 = 1
LCM(895,903) = ( 895 × 903 ) / 1
LCM(895,903) = 808185 / 1
LCM(895,903) = 808185
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 3137/895, 6117/903?
Answer: GCF of Numerators as per given numbers 3137/895, 6117/903 is
GCF of Numerators i.e. for 3137,6117 is 1
LCM of denominators i.e. for 895,903 is 808185.
Thus, GCF of Fractions is 1/808185.Finally, GCF of Fractions for 3137/895, 6117/903 is 1/808185.