Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/605,6126/4306
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 944,6126
Greatest Common Factor of Numerators i.e. GCF of 944,6126 is 2 .
LCM of Denominators means LCM of 605,4306 as per the given fractions.
LCM of 605,4306 is 2605130 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 944,6126
2 | 944, 6126 |
472, 3063 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 6126
List of positive integer factors of 6126 that divides 6126 without a remainder.
1,2,3,6,1021,2042,3063,6126
Greatest Common Factor
We found the factors 944,6126 . The biggest common factor number is the GCF number.
So the greatest common factor 944,6126 is 2.
Lets's calculate LCM of 605,4306
Given numbers has no common factors except 1. So, there LCM is their product i.e 2605130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2605130
Therefore, the GCF of Fractions 944/605,6126/4306 is 2/2605130
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 605,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,4306) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,4306) x common factors =1 x 1 = 1
LCM(605,4306) = ( 605 × 4306 ) / 1
LCM(605,4306) = 2605130 / 1
LCM(605,4306) = 2605130
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 944/605, 6126/4306?
Answer: GCF of Numerators as per given numbers 944/605, 6126/4306 is
GCF of Numerators i.e. for 944,6126 is 2
LCM of denominators i.e. for 605,4306 is 2605130.
Thus, GCF of Fractions is 2/2605130.Finally, GCF of Fractions for 944/605, 6126/4306 is 2/2605130.