Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7416/494,9946/8123
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 7416,9946
Greatest Common Factor of Numerators i.e. GCF of 7416,9946 is 2 .
LCM of Denominators means LCM of 494,8123 as per the given fractions.
LCM of 494,8123 is 4012762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7416,9946
2 | 7416, 9946 |
3708, 4973 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7416
List of positive integer factors of 7416 that divides 7416 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,103,206,309,412,618,824,927,1236,1854,2472,3708,7416
Factors of 9946
List of positive integer factors of 9946 that divides 9946 without a remainder.
1,2,4973,9946
Greatest Common Factor
We found the factors 7416,9946 . The biggest common factor number is the GCF number.
So the greatest common factor 7416,9946 is 2.
Lets's calculate LCM of 494,8123
Given numbers has no common factors except 1. So, there LCM is their product i.e 4012762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4012762
Therefore, the GCF of Fractions 7416/494,9946/8123 is 2/4012762
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 494,8123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,8123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,8123) x common factors =1 x 1 = 1
LCM(494,8123) = ( 494 × 8123 ) / 1
LCM(494,8123) = 4012762 / 1
LCM(494,8123) = 4012762
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 7416/494, 9946/8123?
Answer: GCF of Numerators as per given numbers 7416/494, 9946/8123 is
GCF of Numerators i.e. for 7416,9946 is 2
LCM of denominators i.e. for 494,8123 is 4012762.
Thus, GCF of Fractions is 2/4012762.Finally, GCF of Fractions for 7416/494, 9946/8123 is 2/4012762.