Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/971,775/189,317/324
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 603,775,317
Greatest Common Factor of Numerators i.e. GCF of 603,775,317 is 1 .
LCM of Denominators means LCM of 971,189,324 as per the given fractions.
LCM of 971,189,324 is 2202228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,775,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 603,775,317 . The biggest common factor number is the GCF number.
So the greatest common factor 603,775,317 is 1.
Lets's calculate LCM of 971,189,324
3 | 971, 189, 324 |
3 | 971, 63, 108 |
3 | 971, 21, 36 |
971, 7, 12 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 971 x 7 x 12 = 2202228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2202228
Therefore, the GCF of Fractions 603/971,775/189,317/324 is 1/2202228
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 971,189,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,189,324) = 1
common factors(in case of two or more numbers have common factors) = 27
GCF(971,189,324) x common factors =1 x 27 = 27
LCM(971,189,324) = ( 971 × 189 × 324 ) / 27
LCM(971,189,324) = 59460156 / 27
LCM(971,189,324) = 2202228
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 603/971, 775/189, 317/324?
Answer: GCF of Numerators as per given numbers 603/971, 775/189, 317/324 is
GCF of Numerators i.e. for 603,775,317 is 1
LCM of denominators i.e. for 971,189,324 is 2202228.
Thus, GCF of Fractions is 1/2202228.Finally, GCF of Fractions for 603/971, 775/189, 317/324 is 1/2202228.