Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5811/273,5952/247
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 5811,5952
Greatest Common Factor of Numerators i.e. GCF of 5811,5952 is 3 .
LCM of Denominators means LCM of 273,247 as per the given fractions.
LCM of 273,247 is 5187 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5811,5952
3 | 5811, 5952 |
1937, 1984 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5811
List of positive integer factors of 5811 that divides 5811 without a remainder.
1,3,13,39,149,447,1937,5811
Factors of 5952
List of positive integer factors of 5952 that divides 5952 without a remainder.
1,2,3,4,6,8,12,16,24,31,32,48,62,64,93,96,124,186,192,248,372,496,744,992,1488,1984,2976,5952
Greatest Common Factor
We found the factors 5811,5952 . The biggest common factor number is the GCF number.
So the greatest common factor 5811,5952 is 3.
Lets's calculate LCM of 273,247
13 | 273, 247 |
21, 19 |
∴ So the LCM of the given numbers is 13 x 21 x 19 = 5187
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5187
Therefore, the GCF of Fractions 5811/273,5952/247 is 3/5187
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 273,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,247) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(273,247) x common factors =13 x 1 = 13
LCM(273,247) = ( 273 × 247 ) / 13
LCM(273,247) = 67431 / 13
LCM(273,247) = 5187
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 5811/273, 5952/247?
Answer: GCF of Numerators as per given numbers 5811/273, 5952/247 is
GCF of Numerators i.e. for 5811,5952 is 3
LCM of denominators i.e. for 273,247 is 5187.
Thus, GCF of Fractions is 3/5187.Finally, GCF of Fractions for 5811/273, 5952/247 is 3/5187.