Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2936/622,7446/5093
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 2936,7446
Greatest Common Factor of Numerators i.e. GCF of 2936,7446 is 2 .
LCM of Denominators means LCM of 622,5093 as per the given fractions.
LCM of 622,5093 is 3167846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2936,7446
2 | 2936, 7446 |
1468, 3723 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2936
List of positive integer factors of 2936 that divides 2936 without a remainder.
1,2,4,8,367,734,1468,2936
Factors of 7446
List of positive integer factors of 7446 that divides 7446 without a remainder.
1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Greatest Common Factor
We found the factors 2936,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 2936,7446 is 2.
Lets's calculate LCM of 622,5093
Given numbers has no common factors except 1. So, there LCM is their product i.e 3167846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3167846
Therefore, the GCF of Fractions 2936/622,7446/5093 is 2/3167846
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 622,5093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,5093) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,5093) x common factors =1 x 1 = 1
LCM(622,5093) = ( 622 × 5093 ) / 1
LCM(622,5093) = 3167846 / 1
LCM(622,5093) = 3167846
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 2936/622, 7446/5093?
Answer: GCF of Numerators as per given numbers 2936/622, 7446/5093 is
GCF of Numerators i.e. for 2936,7446 is 2
LCM of denominators i.e. for 622,5093 is 3167846.
Thus, GCF of Fractions is 2/3167846.Finally, GCF of Fractions for 2936/622, 7446/5093 is 2/3167846.