Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2444/142,5877/2639
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 2444,5877
Greatest Common Factor of Numerators i.e. GCF of 2444,5877 is 1 .
LCM of Denominators means LCM of 142,2639 as per the given fractions.
LCM of 142,2639 is 374738 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2444,5877
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2444
List of positive integer factors of 2444 that divides 2444 without a remainder.
1,2,4,13,26,47,52,94,188,611,1222,2444
Factors of 5877
List of positive integer factors of 5877 that divides 5877 without a remainder.
1,3,9,653,1959,5877
Greatest Common Factor
We found the factors 2444,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 2444,5877 is 1.
Lets's calculate LCM of 142,2639
Given numbers has no common factors except 1. So, there LCM is their product i.e 374738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374738
Therefore, the GCF of Fractions 2444/142,5877/2639 is 1/374738
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 142,2639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,2639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,2639) x common factors =1 x 1 = 1
LCM(142,2639) = ( 142 × 2639 ) / 1
LCM(142,2639) = 374738 / 1
LCM(142,2639) = 374738
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 2444/142, 5877/2639?
Answer: GCF of Numerators as per given numbers 2444/142, 5877/2639 is
GCF of Numerators i.e. for 2444,5877 is 1
LCM of denominators i.e. for 142,2639 is 374738.
Thus, GCF of Fractions is 1/374738.Finally, GCF of Fractions for 2444/142, 5877/2639 is 1/374738.