Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/554,3334/2922
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 434,3334
Greatest Common Factor of Numerators i.e. GCF of 434,3334 is 2 .
LCM of Denominators means LCM of 554,2922 as per the given fractions.
LCM of 554,2922 is 809394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 434,3334
2 | 434, 3334 |
217, 1667 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 3334
List of positive integer factors of 3334 that divides 3334 without a remainder.
1,2,1667,3334
Greatest Common Factor
We found the factors 434,3334 . The biggest common factor number is the GCF number.
So the greatest common factor 434,3334 is 2.
Lets's calculate LCM of 554,2922
2 | 554, 2922 |
277, 1461 |
∴ So the LCM of the given numbers is 2 x 277 x 1461 = 809394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/809394
Therefore, the GCF of Fractions 434/554,3334/2922 is 2/809394
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 554,2922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,2922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,2922) x common factors =2 x 1 = 2
LCM(554,2922) = ( 554 × 2922 ) / 2
LCM(554,2922) = 1618788 / 2
LCM(554,2922) = 809394
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 434/554, 3334/2922?
Answer: GCF of Numerators as per given numbers 434/554, 3334/2922 is
GCF of Numerators i.e. for 434,3334 is 2
LCM of denominators i.e. for 554,2922 is 809394.
Thus, GCF of Fractions is 2/809394.Finally, GCF of Fractions for 434/554, 3334/2922 is 2/809394.