Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1193/774,5902/6431
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 1193,5902
Greatest Common Factor of Numerators i.e. GCF of 1193,5902 is 1 .
LCM of Denominators means LCM of 774,6431 as per the given fractions.
LCM of 774,6431 is 4977594 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1193,5902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1193
List of positive integer factors of 1193 that divides 1193 without a remainder.
1,1193
Factors of 5902
List of positive integer factors of 5902 that divides 5902 without a remainder.
1,2,13,26,227,454,2951,5902
Greatest Common Factor
We found the factors 1193,5902 . The biggest common factor number is the GCF number.
So the greatest common factor 1193,5902 is 1.
Lets's calculate LCM of 774,6431
Given numbers has no common factors except 1. So, there LCM is their product i.e 4977594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4977594
Therefore, the GCF of Fractions 1193/774,5902/6431 is 1/4977594
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 774,6431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,6431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(774,6431) x common factors =1 x 1 = 1
LCM(774,6431) = ( 774 × 6431 ) / 1
LCM(774,6431) = 4977594 / 1
LCM(774,6431) = 4977594
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 1193/774, 5902/6431?
Answer: GCF of Numerators as per given numbers 1193/774, 5902/6431 is
GCF of Numerators i.e. for 1193,5902 is 1
LCM of denominators i.e. for 774,6431 is 4977594.
Thus, GCF of Fractions is 1/4977594.Finally, GCF of Fractions for 1193/774, 5902/6431 is 1/4977594.