Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4205/459,2910/9243
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 4205,2910
Greatest Common Factor of Numerators i.e. GCF of 4205,2910 is 5 .
LCM of Denominators means LCM of 459,9243 as per the given fractions.
LCM of 459,9243 is 471393 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4205,2910
5 | 4205, 2910 |
841, 582 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 4205
List of positive integer factors of 4205 that divides 4205 without a remainder.
1,5,29,145,841,4205
Factors of 2910
List of positive integer factors of 2910 that divides 2910 without a remainder.
1,2,3,5,6,10,15,30,97,194,291,485,582,970,1455,2910
Greatest Common Factor
We found the factors 4205,2910 . The biggest common factor number is the GCF number.
So the greatest common factor 4205,2910 is 5.
Lets's calculate LCM of 459,9243
3 | 459, 9243 |
3 | 153, 3081 |
51, 1027 |
∴ So the LCM of the given numbers is 3 x 3 x 51 x 1027 = 471393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/471393
Therefore, the GCF of Fractions 4205/459,2910/9243 is 5/471393
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 459,9243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,9243) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(459,9243) x common factors =9 x 1 = 9
LCM(459,9243) = ( 459 × 9243 ) / 9
LCM(459,9243) = 4242537 / 9
LCM(459,9243) = 471393
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 4205/459, 2910/9243?
Answer: GCF of Numerators as per given numbers 4205/459, 2910/9243 is
GCF of Numerators i.e. for 4205,2910 is 5
LCM of denominators i.e. for 459,9243 is 471393.
Thus, GCF of Fractions is 5/471393.Finally, GCF of Fractions for 4205/459, 2910/9243 is 5/471393.