Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3446/800,8994/2902
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 3446,8994
Greatest Common Factor of Numerators i.e. GCF of 3446,8994 is 2 .
LCM of Denominators means LCM of 800,2902 as per the given fractions.
LCM of 800,2902 is 1160800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3446,8994
2 | 3446, 8994 |
1723, 4497 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3446
List of positive integer factors of 3446 that divides 3446 without a remainder.
1,2,1723,3446
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Greatest Common Factor
We found the factors 3446,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 3446,8994 is 2.
Lets's calculate LCM of 800,2902
2 | 800, 2902 |
400, 1451 |
∴ So the LCM of the given numbers is 2 x 400 x 1451 = 1160800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1160800
Therefore, the GCF of Fractions 3446/800,8994/2902 is 2/1160800
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 800,2902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,2902) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(800,2902) x common factors =2 x 1 = 2
LCM(800,2902) = ( 800 × 2902 ) / 2
LCM(800,2902) = 2321600 / 2
LCM(800,2902) = 1160800
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 3446/800, 8994/2902?
Answer: GCF of Numerators as per given numbers 3446/800, 8994/2902 is
GCF of Numerators i.e. for 3446,8994 is 2
LCM of denominators i.e. for 800,2902 is 1160800.
Thus, GCF of Fractions is 2/1160800.Finally, GCF of Fractions for 3446/800, 8994/2902 is 2/1160800.