Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 451/233,2893/2951
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 451,2893
Greatest Common Factor of Numerators i.e. GCF of 451,2893 is 11 .
LCM of Denominators means LCM of 233,2951 as per the given fractions.
LCM of 233,2951 is 687583 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 451,2893
11 | 451, 2893 |
41, 263 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 2893
List of positive integer factors of 2893 that divides 2893 without a remainder.
1,11,263,2893
Greatest Common Factor
We found the factors 451,2893 . The biggest common factor number is the GCF number.
So the greatest common factor 451,2893 is 11.
Lets's calculate LCM of 233,2951
Given numbers has no common factors except 1. So, there LCM is their product i.e 687583
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/687583
Therefore, the GCF of Fractions 451/233,2893/2951 is 11/687583
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 233,2951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,2951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,2951) x common factors =1 x 1 = 1
LCM(233,2951) = ( 233 × 2951 ) / 1
LCM(233,2951) = 687583 / 1
LCM(233,2951) = 687583
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 451/233, 2893/2951?
Answer: GCF of Numerators as per given numbers 451/233, 2893/2951 is
GCF of Numerators i.e. for 451,2893 is 11
LCM of denominators i.e. for 233,2951 is 687583.
Thus, GCF of Fractions is 11/687583.Finally, GCF of Fractions for 451/233, 2893/2951 is 11/687583.