Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3714/54,9190/409
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 3714,9190
Greatest Common Factor of Numerators i.e. GCF of 3714,9190 is 2 .
LCM of Denominators means LCM of 54,409 as per the given fractions.
LCM of 54,409 is 22086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3714,9190
2 | 3714, 9190 |
1857, 4595 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3714
List of positive integer factors of 3714 that divides 3714 without a remainder.
1,2,3,6,619,1238,1857,3714
Factors of 9190
List of positive integer factors of 9190 that divides 9190 without a remainder.
1,2,5,10,919,1838,4595,9190
Greatest Common Factor
We found the factors 3714,9190 . The biggest common factor number is the GCF number.
So the greatest common factor 3714,9190 is 2.
Lets's calculate LCM of 54,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 22086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22086
Therefore, the GCF of Fractions 3714/54,9190/409 is 2/22086
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 54,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,409) x common factors =1 x 1 = 1
LCM(54,409) = ( 54 × 409 ) / 1
LCM(54,409) = 22086 / 1
LCM(54,409) = 22086
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 3714/54, 9190/409?
Answer: GCF of Numerators as per given numbers 3714/54, 9190/409 is
GCF of Numerators i.e. for 3714,9190 is 2
LCM of denominators i.e. for 54,409 is 22086.
Thus, GCF of Fractions is 2/22086.Finally, GCF of Fractions for 3714/54, 9190/409 is 2/22086.