Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2322/290,4540/6236
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 2322,4540
Greatest Common Factor of Numerators i.e. GCF of 2322,4540 is 2 .
LCM of Denominators means LCM of 290,6236 as per the given fractions.
LCM of 290,6236 is 904220 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2322,4540
2 | 2322, 4540 |
1161, 2270 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2322
List of positive integer factors of 2322 that divides 2322 without a remainder.
1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
Factors of 4540
List of positive integer factors of 4540 that divides 4540 without a remainder.
1,2,4,5,10,20,227,454,908,1135,2270,4540
Greatest Common Factor
We found the factors 2322,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 2322,4540 is 2.
Lets's calculate LCM of 290,6236
2 | 290, 6236 |
145, 3118 |
∴ So the LCM of the given numbers is 2 x 145 x 3118 = 904220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/904220
Therefore, the GCF of Fractions 2322/290,4540/6236 is 2/904220
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 290,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,6236) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,6236) x common factors =2 x 1 = 2
LCM(290,6236) = ( 290 × 6236 ) / 2
LCM(290,6236) = 1808440 / 2
LCM(290,6236) = 904220
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 2322/290, 4540/6236?
Answer: GCF of Numerators as per given numbers 2322/290, 4540/6236 is
GCF of Numerators i.e. for 2322,4540 is 2
LCM of denominators i.e. for 290,6236 is 904220.
Thus, GCF of Fractions is 2/904220.Finally, GCF of Fractions for 2322/290, 4540/6236 is 2/904220.