Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 494/585,4238/8655
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 494,4238
Greatest Common Factor of Numerators i.e. GCF of 494,4238 is 26 .
LCM of Denominators means LCM of 585,8655 as per the given fractions.
LCM of 585,8655 is 337545 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 494,4238
2 | 494, 4238 |
13 | 247, 2119 |
19, 163 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1,2,13,19,26,38,247,494
Factors of 4238
List of positive integer factors of 4238 that divides 4238 without a remainder.
1,2,13,26,163,326,2119,4238
Greatest Common Factor
We found the factors 494,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 494,4238 is 26.
Lets's calculate LCM of 585,8655
3 | 585, 8655 |
5 | 195, 2885 |
39, 577 |
∴ So the LCM of the given numbers is 3 x 5 x 39 x 577 = 337545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/337545
Therefore, the GCF of Fractions 494/585,4238/8655 is 26/337545
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 585,8655 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,8655) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(585,8655) x common factors =15 x 1 = 15
LCM(585,8655) = ( 585 × 8655 ) / 15
LCM(585,8655) = 5063175 / 15
LCM(585,8655) = 337545
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 494/585, 4238/8655?
Answer: GCF of Numerators as per given numbers 494/585, 4238/8655 is
GCF of Numerators i.e. for 494,4238 is 26
LCM of denominators i.e. for 585,8655 is 337545.
Thus, GCF of Fractions is 26/337545.Finally, GCF of Fractions for 494/585, 4238/8655 is 26/337545.