Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 285/137,9366/685
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 285,9366
Greatest Common Factor of Numerators i.e. GCF of 285,9366 is 3 .
LCM of Denominators means LCM of 137,685 as per the given fractions.
LCM of 137,685 is 685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 285,9366
3 | 285, 9366 |
95, 3122 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 9366
List of positive integer factors of 9366 that divides 9366 without a remainder.
1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366
Greatest Common Factor
We found the factors 285,9366 . The biggest common factor number is the GCF number.
So the greatest common factor 285,9366 is 3.
Lets's calculate LCM of 137,685
137 | 137, 685 |
1, 5 |
∴ So the LCM of the given numbers is 137 x 1 x 5 = 685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/685
Therefore, the GCF of Fractions 285/137,9366/685 is 3/685
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 137,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,685) = 137
common factors(in case of two or more numbers have common factors) = 1
GCF(137,685) x common factors =137 x 1 = 137
LCM(137,685) = ( 137 × 685 ) / 137
LCM(137,685) = 93845 / 137
LCM(137,685) = 685
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 285/137, 9366/685?
Answer: GCF of Numerators as per given numbers 285/137, 9366/685 is
GCF of Numerators i.e. for 285,9366 is 3
LCM of denominators i.e. for 137,685 is 685.
Thus, GCF of Fractions is 3/685.Finally, GCF of Fractions for 285/137, 9366/685 is 3/685.