Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/302,4257/8334
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 58,4257
Greatest Common Factor of Numerators i.e. GCF of 58,4257 is 1 .
LCM of Denominators means LCM of 302,8334 as per the given fractions.
LCM of 302,8334 is 1258434 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,4257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 4257
List of positive integer factors of 4257 that divides 4257 without a remainder.
1,3,9,11,33,43,99,129,387,473,1419,4257
Greatest Common Factor
We found the factors 58,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 58,4257 is 1.
Lets's calculate LCM of 302,8334
2 | 302, 8334 |
151, 4167 |
∴ So the LCM of the given numbers is 2 x 151 x 4167 = 1258434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1258434
Therefore, the GCF of Fractions 58/302,4257/8334 is 1/1258434
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 302,8334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,8334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(302,8334) x common factors =2 x 1 = 2
LCM(302,8334) = ( 302 × 8334 ) / 2
LCM(302,8334) = 2516868 / 2
LCM(302,8334) = 1258434
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 58/302, 4257/8334?
Answer: GCF of Numerators as per given numbers 58/302, 4257/8334 is
GCF of Numerators i.e. for 58,4257 is 1
LCM of denominators i.e. for 302,8334 is 1258434.
Thus, GCF of Fractions is 1/1258434.Finally, GCF of Fractions for 58/302, 4257/8334 is 1/1258434.