Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 596/27,871/79,245/903
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 596,871,245
Greatest Common Factor of Numerators i.e. GCF of 596,871,245 is 1 .
LCM of Denominators means LCM of 27,79,903 as per the given fractions.
LCM of 27,79,903 is 642033 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 596,871,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 596,871,245 . The biggest common factor number is the GCF number.
So the greatest common factor 596,871,245 is 1.
Lets's calculate LCM of 27,79,903
3 | 27, 79, 903 |
9, 79, 301 |
∴ So the LCM of the given numbers is 3 x 9 x 79 x 301 = 642033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/642033
Therefore, the GCF of Fractions 596/27,871/79,245/903 is 1/642033
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 27,79,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,79,903) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(27,79,903) x common factors =1 x 3 = 3
LCM(27,79,903) = ( 27 × 79 × 903 ) / 3
LCM(27,79,903) = 1926099 / 3
LCM(27,79,903) = 642033
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 596/27, 871/79, 245/903?
Answer: GCF of Numerators as per given numbers 596/27, 871/79, 245/903 is
GCF of Numerators i.e. for 596,871,245 is 1
LCM of denominators i.e. for 27,79,903 is 642033.
Thus, GCF of Fractions is 1/642033.Finally, GCF of Fractions for 596/27, 871/79, 245/903 is 1/642033.