Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1159/246,6678/8615
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 1159,6678
Greatest Common Factor of Numerators i.e. GCF of 1159,6678 is 1 .
LCM of Denominators means LCM of 246,8615 as per the given fractions.
LCM of 246,8615 is 2119290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1159,6678
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
Factors of 6678
List of positive integer factors of 6678 that divides 6678 without a remainder.
1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678
Greatest Common Factor
We found the factors 1159,6678 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,6678 is 1.
Lets's calculate LCM of 246,8615
Given numbers has no common factors except 1. So, there LCM is their product i.e 2119290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2119290
Therefore, the GCF of Fractions 1159/246,6678/8615 is 1/2119290
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 246,8615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,8615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(246,8615) x common factors =1 x 1 = 1
LCM(246,8615) = ( 246 × 8615 ) / 1
LCM(246,8615) = 2119290 / 1
LCM(246,8615) = 2119290
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 1159/246, 6678/8615?
Answer: GCF of Numerators as per given numbers 1159/246, 6678/8615 is
GCF of Numerators i.e. for 1159,6678 is 1
LCM of denominators i.e. for 246,8615 is 2119290.
Thus, GCF of Fractions is 1/2119290.Finally, GCF of Fractions for 1159/246, 6678/8615 is 1/2119290.