Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1356/342,8094/242
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 1356,8094
Greatest Common Factor of Numerators i.e. GCF of 1356,8094 is 6 .
LCM of Denominators means LCM of 342,242 as per the given fractions.
LCM of 342,242 is 41382 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1356,8094
2 | 1356, 8094 |
3 | 678, 4047 |
226, 1349 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 1356
List of positive integer factors of 1356 that divides 1356 without a remainder.
1,2,3,4,6,12,113,226,339,452,678,1356
Factors of 8094
List of positive integer factors of 8094 that divides 8094 without a remainder.
1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Greatest Common Factor
We found the factors 1356,8094 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,8094 is 6.
Lets's calculate LCM of 342,242
2 | 342, 242 |
171, 121 |
∴ So the LCM of the given numbers is 2 x 171 x 121 = 41382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/41382
Therefore, the GCF of Fractions 1356/342,8094/242 is 6/41382
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 342,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(342,242) x common factors =2 x 1 = 2
LCM(342,242) = ( 342 × 242 ) / 2
LCM(342,242) = 82764 / 2
LCM(342,242) = 41382
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 1356/342, 8094/242?
Answer: GCF of Numerators as per given numbers 1356/342, 8094/242 is
GCF of Numerators i.e. for 1356,8094 is 6
LCM of denominators i.e. for 342,242 is 41382.
Thus, GCF of Fractions is 6/41382.Finally, GCF of Fractions for 1356/342, 8094/242 is 6/41382.