Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7433/449,4250/4210
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 7433,4250
Greatest Common Factor of Numerators i.e. GCF of 7433,4250 is 1 .
LCM of Denominators means LCM of 449,4210 as per the given fractions.
LCM of 449,4210 is 1890290 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7433,4250
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7433
List of positive integer factors of 7433 that divides 7433 without a remainder.
1,7433
Factors of 4250
List of positive integer factors of 4250 that divides 4250 without a remainder.
1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Greatest Common Factor
We found the factors 7433,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 7433,4250 is 1.
Lets's calculate LCM of 449,4210
Given numbers has no common factors except 1. So, there LCM is their product i.e 1890290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1890290
Therefore, the GCF of Fractions 7433/449,4250/4210 is 1/1890290
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 449,4210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,4210) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,4210) x common factors =1 x 1 = 1
LCM(449,4210) = ( 449 × 4210 ) / 1
LCM(449,4210) = 1890290 / 1
LCM(449,4210) = 1890290
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 7433/449, 4250/4210?
Answer: GCF of Numerators as per given numbers 7433/449, 4250/4210 is
GCF of Numerators i.e. for 7433,4250 is 1
LCM of denominators i.e. for 449,4210 is 1890290.
Thus, GCF of Fractions is 1/1890290.Finally, GCF of Fractions for 7433/449, 4250/4210 is 1/1890290.