Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5946/124,3106/961
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 5946,3106
Greatest Common Factor of Numerators i.e. GCF of 5946,3106 is 2 .
LCM of Denominators means LCM of 124,961 as per the given fractions.
LCM of 124,961 is 3844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5946,3106
2 | 5946, 3106 |
2973, 1553 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5946
List of positive integer factors of 5946 that divides 5946 without a remainder.
1,2,3,6,991,1982,2973,5946
Factors of 3106
List of positive integer factors of 3106 that divides 3106 without a remainder.
1,2,1553,3106
Greatest Common Factor
We found the factors 5946,3106 . The biggest common factor number is the GCF number.
So the greatest common factor 5946,3106 is 2.
Lets's calculate LCM of 124,961
31 | 124, 961 |
4, 31 |
∴ So the LCM of the given numbers is 31 x 4 x 31 = 3844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3844
Therefore, the GCF of Fractions 5946/124,3106/961 is 2/3844
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 124,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,961) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(124,961) x common factors =31 x 1 = 31
LCM(124,961) = ( 124 × 961 ) / 31
LCM(124,961) = 119164 / 31
LCM(124,961) = 3844
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 5946/124, 3106/961?
Answer: GCF of Numerators as per given numbers 5946/124, 3106/961 is
GCF of Numerators i.e. for 5946,3106 is 2
LCM of denominators i.e. for 124,961 is 3844.
Thus, GCF of Fractions is 2/3844.Finally, GCF of Fractions for 5946/124, 3106/961 is 2/3844.