Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 231/90,345/75,493/179
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 231,345,493
Greatest Common Factor of Numerators i.e. GCF of 231,345,493 is 1 .
LCM of Denominators means LCM of 90,75,179 as per the given fractions.
LCM of 90,75,179 is 80550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 231,345,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 231,345,493 . The biggest common factor number is the GCF number.
So the greatest common factor 231,345,493 is 1.
Lets's calculate LCM of 90,75,179
3 | 90, 75, 179 |
5 | 30, 25, 179 |
6, 5, 179 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 5 x 179 = 80550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80550
Therefore, the GCF of Fractions 231/90,345/75,493/179 is 1/80550
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 90,75,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,75,179) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(90,75,179) x common factors =1 x 15 = 15
LCM(90,75,179) = ( 90 × 75 × 179 ) / 15
LCM(90,75,179) = 1208250 / 15
LCM(90,75,179) = 80550
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 231/90, 345/75, 493/179?
Answer: GCF of Numerators as per given numbers 231/90, 345/75, 493/179 is
GCF of Numerators i.e. for 231,345,493 is 1
LCM of denominators i.e. for 90,75,179 is 80550.
Thus, GCF of Fractions is 1/80550.Finally, GCF of Fractions for 231/90, 345/75, 493/179 is 1/80550.