Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3398/32,7478/612
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 3398,7478
Greatest Common Factor of Numerators i.e. GCF of 3398,7478 is 2 .
LCM of Denominators means LCM of 32,612 as per the given fractions.
LCM of 32,612 is 4896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3398,7478
2 | 3398, 7478 |
1699, 3739 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3398
List of positive integer factors of 3398 that divides 3398 without a remainder.
1,2,1699,3398
Factors of 7478
List of positive integer factors of 7478 that divides 7478 without a remainder.
1,2,3739,7478
Greatest Common Factor
We found the factors 3398,7478 . The biggest common factor number is the GCF number.
So the greatest common factor 3398,7478 is 2.
Lets's calculate LCM of 32,612
2 | 32, 612 |
2 | 16, 306 |
8, 153 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 153 = 4896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4896
Therefore, the GCF of Fractions 3398/32,7478/612 is 2/4896
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 32,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,612) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(32,612) x common factors =4 x 1 = 4
LCM(32,612) = ( 32 × 612 ) / 4
LCM(32,612) = 19584 / 4
LCM(32,612) = 4896
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 3398/32, 7478/612?
Answer: GCF of Numerators as per given numbers 3398/32, 7478/612 is
GCF of Numerators i.e. for 3398,7478 is 2
LCM of denominators i.e. for 32,612 is 4896.
Thus, GCF of Fractions is 2/4896.Finally, GCF of Fractions for 3398/32, 7478/612 is 2/4896.