Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5744/303,4226/972
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 5744,4226
Greatest Common Factor of Numerators i.e. GCF of 5744,4226 is 2 .
LCM of Denominators means LCM of 303,972 as per the given fractions.
LCM of 303,972 is 98172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5744,4226
2 | 5744, 4226 |
2872, 2113 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5744
List of positive integer factors of 5744 that divides 5744 without a remainder.
1,2,4,8,16,359,718,1436,2872,5744
Factors of 4226
List of positive integer factors of 4226 that divides 4226 without a remainder.
1,2,2113,4226
Greatest Common Factor
We found the factors 5744,4226 . The biggest common factor number is the GCF number.
So the greatest common factor 5744,4226 is 2.
Lets's calculate LCM of 303,972
3 | 303, 972 |
101, 324 |
∴ So the LCM of the given numbers is 3 x 101 x 324 = 98172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/98172
Therefore, the GCF of Fractions 5744/303,4226/972 is 2/98172
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 303,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,972) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,972) x common factors =3 x 1 = 3
LCM(303,972) = ( 303 × 972 ) / 3
LCM(303,972) = 294516 / 3
LCM(303,972) = 98172
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 5744/303, 4226/972?
Answer: GCF of Numerators as per given numbers 5744/303, 4226/972 is
GCF of Numerators i.e. for 5744,4226 is 2
LCM of denominators i.e. for 303,972 is 98172.
Thus, GCF of Fractions is 2/98172.Finally, GCF of Fractions for 5744/303, 4226/972 is 2/98172.