Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9329/936,5694/861
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 9329,5694
Greatest Common Factor of Numerators i.e. GCF of 9329,5694 is 1 .
LCM of Denominators means LCM of 936,861 as per the given fractions.
LCM of 936,861 is 268632 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9329,5694
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1,19,491,9329
Factors of 5694
List of positive integer factors of 5694 that divides 5694 without a remainder.
1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694
Greatest Common Factor
We found the factors 9329,5694 . The biggest common factor number is the GCF number.
So the greatest common factor 9329,5694 is 1.
Lets's calculate LCM of 936,861
3 | 936, 861 |
312, 287 |
∴ So the LCM of the given numbers is 3 x 312 x 287 = 268632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268632
Therefore, the GCF of Fractions 9329/936,5694/861 is 1/268632
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 936,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,861) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(936,861) x common factors =3 x 1 = 3
LCM(936,861) = ( 936 × 861 ) / 3
LCM(936,861) = 805896 / 3
LCM(936,861) = 268632
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 9329/936, 5694/861?
Answer: GCF of Numerators as per given numbers 9329/936, 5694/861 is
GCF of Numerators i.e. for 9329,5694 is 1
LCM of denominators i.e. for 936,861 is 268632.
Thus, GCF of Fractions is 1/268632.Finally, GCF of Fractions for 9329/936, 5694/861 is 1/268632.