Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3093/621,7853/4857
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 3093,7853
Greatest Common Factor of Numerators i.e. GCF of 3093,7853 is 1 .
LCM of Denominators means LCM of 621,4857 as per the given fractions.
LCM of 621,4857 is 1005399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3093,7853
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3093
List of positive integer factors of 3093 that divides 3093 without a remainder.
1,3,1031,3093
Factors of 7853
List of positive integer factors of 7853 that divides 7853 without a remainder.
1,7853
Greatest Common Factor
We found the factors 3093,7853 . The biggest common factor number is the GCF number.
So the greatest common factor 3093,7853 is 1.
Lets's calculate LCM of 621,4857
3 | 621, 4857 |
207, 1619 |
∴ So the LCM of the given numbers is 3 x 207 x 1619 = 1005399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1005399
Therefore, the GCF of Fractions 3093/621,7853/4857 is 1/1005399
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 621,4857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,4857) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(621,4857) x common factors =3 x 1 = 3
LCM(621,4857) = ( 621 × 4857 ) / 3
LCM(621,4857) = 3016197 / 3
LCM(621,4857) = 1005399
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 3093/621, 7853/4857?
Answer: GCF of Numerators as per given numbers 3093/621, 7853/4857 is
GCF of Numerators i.e. for 3093,7853 is 1
LCM of denominators i.e. for 621,4857 is 1005399.
Thus, GCF of Fractions is 1/1005399.Finally, GCF of Fractions for 3093/621, 7853/4857 is 1/1005399.