Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 633/357,9159/268
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 633,9159
Greatest Common Factor of Numerators i.e. GCF of 633,9159 is 3 .
LCM of Denominators means LCM of 357,268 as per the given fractions.
LCM of 357,268 is 95676 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 633,9159
3 | 633, 9159 |
211, 3053 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 9159
List of positive integer factors of 9159 that divides 9159 without a remainder.
1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 633,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 633,9159 is 3.
Lets's calculate LCM of 357,268
Given numbers has no common factors except 1. So, there LCM is their product i.e 95676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95676
Therefore, the GCF of Fractions 633/357,9159/268 is 3/95676
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 357,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,268) x common factors =1 x 1 = 1
LCM(357,268) = ( 357 × 268 ) / 1
LCM(357,268) = 95676 / 1
LCM(357,268) = 95676
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 633/357, 9159/268?
Answer: GCF of Numerators as per given numbers 633/357, 9159/268 is
GCF of Numerators i.e. for 633,9159 is 3
LCM of denominators i.e. for 357,268 is 95676.
Thus, GCF of Fractions is 3/95676.Finally, GCF of Fractions for 633/357, 9159/268 is 3/95676.