Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 179/729,5004/1455
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 179,5004
Greatest Common Factor of Numerators i.e. GCF of 179,5004 is 1 .
LCM of Denominators means LCM of 729,1455 as per the given fractions.
LCM of 729,1455 is 353565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 179,5004
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 5004
List of positive integer factors of 5004 that divides 5004 without a remainder.
1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
Greatest Common Factor
We found the factors 179,5004 . The biggest common factor number is the GCF number.
So the greatest common factor 179,5004 is 1.
Lets's calculate LCM of 729,1455
3 | 729, 1455 |
243, 485 |
∴ So the LCM of the given numbers is 3 x 243 x 485 = 353565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353565
Therefore, the GCF of Fractions 179/729,5004/1455 is 1/353565
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 729,1455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,1455) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(729,1455) x common factors =3 x 1 = 3
LCM(729,1455) = ( 729 × 1455 ) / 3
LCM(729,1455) = 1060695 / 3
LCM(729,1455) = 353565
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 179/729, 5004/1455?
Answer: GCF of Numerators as per given numbers 179/729, 5004/1455 is
GCF of Numerators i.e. for 179,5004 is 1
LCM of denominators i.e. for 729,1455 is 353565.
Thus, GCF of Fractions is 1/353565.Finally, GCF of Fractions for 179/729, 5004/1455 is 1/353565.