Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 519/474,4350/956
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 519,4350
Greatest Common Factor of Numerators i.e. GCF of 519,4350 is 3 .
LCM of Denominators means LCM of 474,956 as per the given fractions.
LCM of 474,956 is 226572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 519,4350
3 | 519, 4350 |
173, 1450 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 519
List of positive integer factors of 519 that divides 519 without a remainder.
1,3,173,519
Factors of 4350
List of positive integer factors of 4350 that divides 4350 without a remainder.
1,2,3,5,6,10,15,25,29,30,50,58,75,87,145,150,174,290,435,725,870,1450,2175,4350
Greatest Common Factor
We found the factors 519,4350 . The biggest common factor number is the GCF number.
So the greatest common factor 519,4350 is 3.
Lets's calculate LCM of 474,956
2 | 474, 956 |
237, 478 |
∴ So the LCM of the given numbers is 2 x 237 x 478 = 226572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/226572
Therefore, the GCF of Fractions 519/474,4350/956 is 3/226572
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 474,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,956) x common factors =2 x 1 = 2
LCM(474,956) = ( 474 × 956 ) / 2
LCM(474,956) = 453144 / 2
LCM(474,956) = 226572
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 519/474, 4350/956?
Answer: GCF of Numerators as per given numbers 519/474, 4350/956 is
GCF of Numerators i.e. for 519,4350 is 3
LCM of denominators i.e. for 474,956 is 226572.
Thus, GCF of Fractions is 3/226572.Finally, GCF of Fractions for 519/474, 4350/956 is 3/226572.