Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 324/24,902/20,598/95
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 324,902,598
Greatest Common Factor of Numerators i.e. GCF of 324,902,598 is 2 .
LCM of Denominators means LCM of 24,20,95 as per the given fractions.
LCM of 24,20,95 is 2280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 324,902,598
2 | 324, 902, 598 |
162, 451, 299 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 324,902,598 . The biggest common factor number is the GCF number.
So the greatest common factor 324,902,598 is 2.
Lets's calculate LCM of 24,20,95
2 | 24, 20, 95 |
2 | 12, 10, 95 |
5 | 6, 5, 95 |
6, 1, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 6 x 1 x 19 = 2280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2280
Therefore, the GCF of Fractions 324/24,902/20,598/95 is 2/2280
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 24,20,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,20,95) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(24,20,95) x common factors =1 x 20 = 20
LCM(24,20,95) = ( 24 × 20 × 95 ) / 20
LCM(24,20,95) = 45600 / 20
LCM(24,20,95) = 2280
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 324/24, 902/20, 598/95?
Answer: GCF of Numerators as per given numbers 324/24, 902/20, 598/95 is
GCF of Numerators i.e. for 324,902,598 is 2
LCM of denominators i.e. for 24,20,95 is 2280.
Thus, GCF of Fractions is 2/2280.Finally, GCF of Fractions for 324/24, 902/20, 598/95 is 2/2280.