Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8393/573,4829/1599
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 8393,4829
Greatest Common Factor of Numerators i.e. GCF of 8393,4829 is 11 .
LCM of Denominators means LCM of 573,1599 as per the given fractions.
LCM of 573,1599 is 305409 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8393,4829
11 | 8393, 4829 |
763, 439 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1,7,11,77,109,763,1199,8393
Factors of 4829
List of positive integer factors of 4829 that divides 4829 without a remainder.
1,11,439,4829
Greatest Common Factor
We found the factors 8393,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 8393,4829 is 11.
Lets's calculate LCM of 573,1599
3 | 573, 1599 |
191, 533 |
∴ So the LCM of the given numbers is 3 x 191 x 533 = 305409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/305409
Therefore, the GCF of Fractions 8393/573,4829/1599 is 11/305409
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 573,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(573,1599) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(573,1599) x common factors =3 x 1 = 3
LCM(573,1599) = ( 573 × 1599 ) / 3
LCM(573,1599) = 916227 / 3
LCM(573,1599) = 305409
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 8393/573, 4829/1599?
Answer: GCF of Numerators as per given numbers 8393/573, 4829/1599 is
GCF of Numerators i.e. for 8393,4829 is 11
LCM of denominators i.e. for 573,1599 is 305409.
Thus, GCF of Fractions is 11/305409.Finally, GCF of Fractions for 8393/573, 4829/1599 is 11/305409.