Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 481/574,859/207,617/372
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 481,859,617
Greatest Common Factor of Numerators i.e. GCF of 481,859,617 is 1 .
LCM of Denominators means LCM of 574,207,372 as per the given fractions.
LCM of 574,207,372 is 7366716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 481,859,617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1,13,37,481
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 617
List of positive integer factors of 617 that divides 617 without a remainder.
1,617
Greatest Common Factor
We found the factors 481,859,617 . The biggest common factor number is the GCF number.
So the greatest common factor 481,859,617 is 1.
Lets's calculate LCM of 574,207,372
2 | 574, 207, 372 |
3 | 287, 207, 186 |
287, 69, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 287 x 69 x 62 = 7366716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7366716
Therefore, the GCF of Fractions 481/574,859/207,617/372 is 1/7366716
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 574,207,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,207,372) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(574,207,372) x common factors =1 x 6 = 6
LCM(574,207,372) = ( 574 × 207 × 372 ) / 6
LCM(574,207,372) = 44200296 / 6
LCM(574,207,372) = 7366716
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 481/574, 859/207, 617/372?
Answer: GCF of Numerators as per given numbers 481/574, 859/207, 617/372 is
GCF of Numerators i.e. for 481,859,617 is 1
LCM of denominators i.e. for 574,207,372 is 7366716.
Thus, GCF of Fractions is 1/7366716.Finally, GCF of Fractions for 481/574, 859/207, 617/372 is 1/7366716.