Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1941/17,2946/892
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 1941,2946
Greatest Common Factor of Numerators i.e. GCF of 1941,2946 is 3 .
LCM of Denominators means LCM of 17,892 as per the given fractions.
LCM of 17,892 is 15164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1941,2946
3 | 1941, 2946 |
647, 982 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1941
List of positive integer factors of 1941 that divides 1941 without a remainder.
1,3,647,1941
Factors of 2946
List of positive integer factors of 2946 that divides 2946 without a remainder.
1,2,3,6,491,982,1473,2946
Greatest Common Factor
We found the factors 1941,2946 . The biggest common factor number is the GCF number.
So the greatest common factor 1941,2946 is 3.
Lets's calculate LCM of 17,892
Given numbers has no common factors except 1. So, there LCM is their product i.e 15164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15164
Therefore, the GCF of Fractions 1941/17,2946/892 is 3/15164
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 17,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,892) x common factors =1 x 1 = 1
LCM(17,892) = ( 17 × 892 ) / 1
LCM(17,892) = 15164 / 1
LCM(17,892) = 15164
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 1941/17, 2946/892?
Answer: GCF of Numerators as per given numbers 1941/17, 2946/892 is
GCF of Numerators i.e. for 1941,2946 is 3
LCM of denominators i.e. for 17,892 is 15164.
Thus, GCF of Fractions is 3/15164.Finally, GCF of Fractions for 1941/17, 2946/892 is 3/15164.