Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2407/433,4454/944
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 2407,4454
Greatest Common Factor of Numerators i.e. GCF of 2407,4454 is 1 .
LCM of Denominators means LCM of 433,944 as per the given fractions.
LCM of 433,944 is 408752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2407,4454
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2407
List of positive integer factors of 2407 that divides 2407 without a remainder.
1,29,83,2407
Factors of 4454
List of positive integer factors of 4454 that divides 4454 without a remainder.
1,2,17,34,131,262,2227,4454
Greatest Common Factor
We found the factors 2407,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 2407,4454 is 1.
Lets's calculate LCM of 433,944
Given numbers has no common factors except 1. So, there LCM is their product i.e 408752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/408752
Therefore, the GCF of Fractions 2407/433,4454/944 is 1/408752
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 433,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,944) x common factors =1 x 1 = 1
LCM(433,944) = ( 433 × 944 ) / 1
LCM(433,944) = 408752 / 1
LCM(433,944) = 408752
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 2407/433, 4454/944?
Answer: GCF of Numerators as per given numbers 2407/433, 4454/944 is
GCF of Numerators i.e. for 2407,4454 is 1
LCM of denominators i.e. for 433,944 is 408752.
Thus, GCF of Fractions is 1/408752.Finally, GCF of Fractions for 2407/433, 4454/944 is 1/408752.