Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 577/286,6038/136
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 577,6038
Greatest Common Factor of Numerators i.e. GCF of 577,6038 is 1 .
LCM of Denominators means LCM of 286,136 as per the given fractions.
LCM of 286,136 is 19448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 577,6038
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Factors of 6038
List of positive integer factors of 6038 that divides 6038 without a remainder.
1,2,3019,6038
Greatest Common Factor
We found the factors 577,6038 . The biggest common factor number is the GCF number.
So the greatest common factor 577,6038 is 1.
Lets's calculate LCM of 286,136
2 | 286, 136 |
143, 68 |
∴ So the LCM of the given numbers is 2 x 143 x 68 = 19448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19448
Therefore, the GCF of Fractions 577/286,6038/136 is 1/19448
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 286,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,136) x common factors =2 x 1 = 2
LCM(286,136) = ( 286 × 136 ) / 2
LCM(286,136) = 38896 / 2
LCM(286,136) = 19448
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 577/286, 6038/136?
Answer: GCF of Numerators as per given numbers 577/286, 6038/136 is
GCF of Numerators i.e. for 577,6038 is 1
LCM of denominators i.e. for 286,136 is 19448.
Thus, GCF of Fractions is 1/19448.Finally, GCF of Fractions for 577/286, 6038/136 is 1/19448.