Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3742/418,6191/2632
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 3742,6191
Greatest Common Factor of Numerators i.e. GCF of 3742,6191 is 1 .
LCM of Denominators means LCM of 418,2632 as per the given fractions.
LCM of 418,2632 is 550088 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3742,6191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3742
List of positive integer factors of 3742 that divides 3742 without a remainder.
1,2,1871,3742
Factors of 6191
List of positive integer factors of 6191 that divides 6191 without a remainder.
1,41,151,6191
Greatest Common Factor
We found the factors 3742,6191 . The biggest common factor number is the GCF number.
So the greatest common factor 3742,6191 is 1.
Lets's calculate LCM of 418,2632
2 | 418, 2632 |
209, 1316 |
∴ So the LCM of the given numbers is 2 x 209 x 1316 = 550088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/550088
Therefore, the GCF of Fractions 3742/418,6191/2632 is 1/550088
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 418,2632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,2632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,2632) x common factors =2 x 1 = 2
LCM(418,2632) = ( 418 × 2632 ) / 2
LCM(418,2632) = 1100176 / 2
LCM(418,2632) = 550088
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 3742/418, 6191/2632?
Answer: GCF of Numerators as per given numbers 3742/418, 6191/2632 is
GCF of Numerators i.e. for 3742,6191 is 1
LCM of denominators i.e. for 418,2632 is 550088.
Thus, GCF of Fractions is 1/550088.Finally, GCF of Fractions for 3742/418, 6191/2632 is 1/550088.