Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3590/121,2083/2789
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 3590,2083
Greatest Common Factor of Numerators i.e. GCF of 3590,2083 is 1 .
LCM of Denominators means LCM of 121,2789 as per the given fractions.
LCM of 121,2789 is 337469 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3590,2083
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3590
List of positive integer factors of 3590 that divides 3590 without a remainder.
1,2,5,10,359,718,1795,3590
Factors of 2083
List of positive integer factors of 2083 that divides 2083 without a remainder.
1,2083
Greatest Common Factor
We found the factors 3590,2083 . The biggest common factor number is the GCF number.
So the greatest common factor 3590,2083 is 1.
Lets's calculate LCM of 121,2789
Given numbers has no common factors except 1. So, there LCM is their product i.e 337469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337469
Therefore, the GCF of Fractions 3590/121,2083/2789 is 1/337469
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 121,2789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,2789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,2789) x common factors =1 x 1 = 1
LCM(121,2789) = ( 121 × 2789 ) / 1
LCM(121,2789) = 337469 / 1
LCM(121,2789) = 337469
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 3590/121, 2083/2789?
Answer: GCF of Numerators as per given numbers 3590/121, 2083/2789 is
GCF of Numerators i.e. for 3590,2083 is 1
LCM of denominators i.e. for 121,2789 is 337469.
Thus, GCF of Fractions is 1/337469.Finally, GCF of Fractions for 3590/121, 2083/2789 is 1/337469.