Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2385/235,1279/2513
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 2385,1279
Greatest Common Factor of Numerators i.e. GCF of 2385,1279 is 1 .
LCM of Denominators means LCM of 235,2513 as per the given fractions.
LCM of 235,2513 is 590555 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2385,1279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2385
List of positive integer factors of 2385 that divides 2385 without a remainder.
1,3,5,9,15,45,53,159,265,477,795,2385
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Greatest Common Factor
We found the factors 2385,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 2385,1279 is 1.
Lets's calculate LCM of 235,2513
Given numbers has no common factors except 1. So, there LCM is their product i.e 590555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/590555
Therefore, the GCF of Fractions 2385/235,1279/2513 is 1/590555
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 235,2513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,2513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,2513) x common factors =1 x 1 = 1
LCM(235,2513) = ( 235 × 2513 ) / 1
LCM(235,2513) = 590555 / 1
LCM(235,2513) = 590555
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 2385/235, 1279/2513?
Answer: GCF of Numerators as per given numbers 2385/235, 1279/2513 is
GCF of Numerators i.e. for 2385,1279 is 1
LCM of denominators i.e. for 235,2513 is 590555.
Thus, GCF of Fractions is 1/590555.Finally, GCF of Fractions for 2385/235, 1279/2513 is 1/590555.