Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/765,231/585,375/249
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 55,231,375
Greatest Common Factor of Numerators i.e. GCF of 55,231,375 is 1 .
LCM of Denominators means LCM of 765,585,249 as per the given fractions.
LCM of 765,585,249 is 825435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,231,375
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
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 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 55,231,375 . The biggest common factor number is the GCF number.
So the greatest common factor 55,231,375 is 1.
Lets's calculate LCM of 765,585,249
3 | 765, 585, 249 |
3 | 255, 195, 83 |
5 | 85, 65, 83 |
17, 13, 83 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 13 x 83 = 825435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/825435
Therefore, the GCF of Fractions 55/765,231/585,375/249 is 1/825435
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 765,585,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,585,249) = 3
common factors(in case of two or more numbers have common factors) = 45
GCF(765,585,249) x common factors =3 x 45 = 135
LCM(765,585,249) = ( 765 × 585 × 249 ) / 135
LCM(765,585,249) = 111433725 / 135
LCM(765,585,249) = 825435
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 55/765, 231/585, 375/249?
Answer: GCF of Numerators as per given numbers 55/765, 231/585, 375/249 is
GCF of Numerators i.e. for 55,231,375 is 1
LCM of denominators i.e. for 765,585,249 is 825435.
Thus, GCF of Fractions is 1/825435.Finally, GCF of Fractions for 55/765, 231/585, 375/249 is 1/825435.