Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9239/966,3873/427
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 9239,3873
Greatest Common Factor of Numerators i.e. GCF of 9239,3873 is 1 .
LCM of Denominators means LCM of 966,427 as per the given fractions.
LCM of 966,427 is 58926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9239,3873
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9239
List of positive integer factors of 9239 that divides 9239 without a remainder.
1,9239
Factors of 3873
List of positive integer factors of 3873 that divides 3873 without a remainder.
1,3,1291,3873
Greatest Common Factor
We found the factors 9239,3873 . The biggest common factor number is the GCF number.
So the greatest common factor 9239,3873 is 1.
Lets's calculate LCM of 966,427
7 | 966, 427 |
138, 61 |
∴ So the LCM of the given numbers is 7 x 138 x 61 = 58926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58926
Therefore, the GCF of Fractions 9239/966,3873/427 is 1/58926
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 966,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,427) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(966,427) x common factors =7 x 1 = 7
LCM(966,427) = ( 966 × 427 ) / 7
LCM(966,427) = 412482 / 7
LCM(966,427) = 58926
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 9239/966, 3873/427?
Answer: GCF of Numerators as per given numbers 9239/966, 3873/427 is
GCF of Numerators i.e. for 9239,3873 is 1
LCM of denominators i.e. for 966,427 is 58926.
Thus, GCF of Fractions is 1/58926.Finally, GCF of Fractions for 9239/966, 3873/427 is 1/58926.