Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 243/57,315/5357
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 243,315
Greatest Common Factor of Numerators i.e. GCF of 243,315 is 9 .
LCM of Denominators means LCM of 57,5357 as per the given fractions.
LCM of 57,5357 is 305349 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 243,315
3 | 243, 315 |
3 | 81, 105 |
27, 35 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 243,315 . The biggest common factor number is the GCF number.
So the greatest common factor 243,315 is 9.
Lets's calculate LCM of 57,5357
Given numbers has no common factors except 1. So, there LCM is their product i.e 305349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/305349
Therefore, the GCF of Fractions 243/57,315/5357 is 9/305349
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 57,5357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,5357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,5357) x common factors =1 x 1 = 1
LCM(57,5357) = ( 57 × 5357 ) / 1
LCM(57,5357) = 305349 / 1
LCM(57,5357) = 305349
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 243/57, 315/5357?
Answer: GCF of Numerators as per given numbers 243/57, 315/5357 is
GCF of Numerators i.e. for 243,315 is 9
LCM of denominators i.e. for 57,5357 is 305349.
Thus, GCF of Fractions is 9/305349.Finally, GCF of Fractions for 243/57, 315/5357 is 9/305349.