Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4287/93,7266/198
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 4287,7266
Greatest Common Factor of Numerators i.e. GCF of 4287,7266 is 3 .
LCM of Denominators means LCM of 93,198 as per the given fractions.
LCM of 93,198 is 6138 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4287,7266
3 | 4287, 7266 |
1429, 2422 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 4287
List of positive integer factors of 4287 that divides 4287 without a remainder.
1,3,1429,4287
Factors of 7266
List of positive integer factors of 7266 that divides 7266 without a remainder.
1,2,3,6,7,14,21,42,173,346,519,1038,1211,2422,3633,7266
Greatest Common Factor
We found the factors 4287,7266 . The biggest common factor number is the GCF number.
So the greatest common factor 4287,7266 is 3.
Lets's calculate LCM of 93,198
3 | 93, 198 |
31, 66 |
∴ So the LCM of the given numbers is 3 x 31 x 66 = 6138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6138
Therefore, the GCF of Fractions 4287/93,7266/198 is 3/6138
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 93,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,198) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(93,198) x common factors =3 x 1 = 3
LCM(93,198) = ( 93 × 198 ) / 3
LCM(93,198) = 18414 / 3
LCM(93,198) = 6138
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 4287/93, 7266/198?
Answer: GCF of Numerators as per given numbers 4287/93, 7266/198 is
GCF of Numerators i.e. for 4287,7266 is 3
LCM of denominators i.e. for 93,198 is 6138.
Thus, GCF of Fractions is 3/6138.Finally, GCF of Fractions for 4287/93, 7266/198 is 3/6138.