Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2942/116,6439/4190
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 2942,6439
Greatest Common Factor of Numerators i.e. GCF of 2942,6439 is 1 .
LCM of Denominators means LCM of 116,4190 as per the given fractions.
LCM of 116,4190 is 243020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2942,6439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2942
List of positive integer factors of 2942 that divides 2942 without a remainder.
1,2,1471,2942
Factors of 6439
List of positive integer factors of 6439 that divides 6439 without a remainder.
1,47,137,6439
Greatest Common Factor
We found the factors 2942,6439 . The biggest common factor number is the GCF number.
So the greatest common factor 2942,6439 is 1.
Lets's calculate LCM of 116,4190
2 | 116, 4190 |
58, 2095 |
∴ So the LCM of the given numbers is 2 x 58 x 2095 = 243020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243020
Therefore, the GCF of Fractions 2942/116,6439/4190 is 1/243020
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 116,4190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,4190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(116,4190) x common factors =2 x 1 = 2
LCM(116,4190) = ( 116 × 4190 ) / 2
LCM(116,4190) = 486040 / 2
LCM(116,4190) = 243020
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 2942/116, 6439/4190?
Answer: GCF of Numerators as per given numbers 2942/116, 6439/4190 is
GCF of Numerators i.e. for 2942,6439 is 1
LCM of denominators i.e. for 116,4190 is 243020.
Thus, GCF of Fractions is 1/243020.Finally, GCF of Fractions for 2942/116, 6439/4190 is 1/243020.