Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/65,918/28,923/815
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 233,918,923
Greatest Common Factor of Numerators i.e. GCF of 233,918,923 is 1 .
LCM of Denominators means LCM of 65,28,815 as per the given fractions.
LCM of 65,28,815 is 296660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 233,918,923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Greatest Common Factor
We found the factors 233,918,923 . The biggest common factor number is the GCF number.
So the greatest common factor 233,918,923 is 1.
Lets's calculate LCM of 65,28,815
5 | 65, 28, 815 |
13, 28, 163 |
∴ So the LCM of the given numbers is 5 x 13 x 28 x 163 = 296660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296660
Therefore, the GCF of Fractions 233/65,918/28,923/815 is 1/296660
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 65,28,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,28,815) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,28,815) x common factors =1 x 5 = 5
LCM(65,28,815) = ( 65 × 28 × 815 ) / 5
LCM(65,28,815) = 1483300 / 5
LCM(65,28,815) = 296660
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 233/65, 918/28, 923/815?
Answer: GCF of Numerators as per given numbers 233/65, 918/28, 923/815 is
GCF of Numerators i.e. for 233,918,923 is 1
LCM of denominators i.e. for 65,28,815 is 296660.
Thus, GCF of Fractions is 1/296660.Finally, GCF of Fractions for 233/65, 918/28, 923/815 is 1/296660.