Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2594/433,3783/668
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 2594,3783
Greatest Common Factor of Numerators i.e. GCF of 2594,3783 is 1 .
LCM of Denominators means LCM of 433,668 as per the given fractions.
LCM of 433,668 is 289244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2594,3783
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2594
List of positive integer factors of 2594 that divides 2594 without a remainder.
1,2,1297,2594
Factors of 3783
List of positive integer factors of 3783 that divides 3783 without a remainder.
1,3,13,39,97,291,1261,3783
Greatest Common Factor
We found the factors 2594,3783 . The biggest common factor number is the GCF number.
So the greatest common factor 2594,3783 is 1.
Lets's calculate LCM of 433,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 289244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289244
Therefore, the GCF of Fractions 2594/433,3783/668 is 1/289244
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 433,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,668) x common factors =1 x 1 = 1
LCM(433,668) = ( 433 × 668 ) / 1
LCM(433,668) = 289244 / 1
LCM(433,668) = 289244
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 2594/433, 3783/668?
Answer: GCF of Numerators as per given numbers 2594/433, 3783/668 is
GCF of Numerators i.e. for 2594,3783 is 1
LCM of denominators i.e. for 433,668 is 289244.
Thus, GCF of Fractions is 1/289244.Finally, GCF of Fractions for 2594/433, 3783/668 is 1/289244.