Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2476/383,2439/5032
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 2476,2439
Greatest Common Factor of Numerators i.e. GCF of 2476,2439 is 1 .
LCM of Denominators means LCM of 383,5032 as per the given fractions.
LCM of 383,5032 is 1927256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2476,2439
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2476
List of positive integer factors of 2476 that divides 2476 without a remainder.
1,2,4,619,1238,2476
Factors of 2439
List of positive integer factors of 2439 that divides 2439 without a remainder.
1,3,9,271,813,2439
Greatest Common Factor
We found the factors 2476,2439 . The biggest common factor number is the GCF number.
So the greatest common factor 2476,2439 is 1.
Lets's calculate LCM of 383,5032
Given numbers has no common factors except 1. So, there LCM is their product i.e 1927256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1927256
Therefore, the GCF of Fractions 2476/383,2439/5032 is 1/1927256
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 383,5032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,5032) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,5032) x common factors =1 x 1 = 1
LCM(383,5032) = ( 383 × 5032 ) / 1
LCM(383,5032) = 1927256 / 1
LCM(383,5032) = 1927256
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 2476/383, 2439/5032?
Answer: GCF of Numerators as per given numbers 2476/383, 2439/5032 is
GCF of Numerators i.e. for 2476,2439 is 1
LCM of denominators i.e. for 383,5032 is 1927256.
Thus, GCF of Fractions is 1/1927256.Finally, GCF of Fractions for 2476/383, 2439/5032 is 1/1927256.