Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 243/20,308/2388
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 243,308
Greatest Common Factor of Numerators i.e. GCF of 243,308 is 1 .
LCM of Denominators means LCM of 20,2388 as per the given fractions.
LCM of 20,2388 is 11940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 243,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 243,308 . The biggest common factor number is the GCF number.
So the greatest common factor 243,308 is 1.
Lets's calculate LCM of 20,2388
2 | 20, 2388 |
2 | 10, 1194 |
5, 597 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 597 = 11940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11940
Therefore, the GCF of Fractions 243/20,308/2388 is 1/11940
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 20,2388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,2388) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,2388) x common factors =4 x 1 = 4
LCM(20,2388) = ( 20 × 2388 ) / 4
LCM(20,2388) = 47760 / 4
LCM(20,2388) = 11940
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 243/20, 308/2388?
Answer: GCF of Numerators as per given numbers 243/20, 308/2388 is
GCF of Numerators i.e. for 243,308 is 1
LCM of denominators i.e. for 20,2388 is 11940.
Thus, GCF of Fractions is 1/11940.Finally, GCF of Fractions for 243/20, 308/2388 is 1/11940.