Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2460/23,5399/861
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 2460,5399
Greatest Common Factor of Numerators i.e. GCF of 2460,5399 is 1 .
LCM of Denominators means LCM of 23,861 as per the given fractions.
LCM of 23,861 is 19803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2460,5399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2460
List of positive integer factors of 2460 that divides 2460 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,41,60,82,123,164,205,246,410,492,615,820,1230,2460
Factors of 5399
List of positive integer factors of 5399 that divides 5399 without a remainder.
1,5399
Greatest Common Factor
We found the factors 2460,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 2460,5399 is 1.
Lets's calculate LCM of 23,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 19803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19803
Therefore, the GCF of Fractions 2460/23,5399/861 is 1/19803
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 23,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,861) x common factors =1 x 1 = 1
LCM(23,861) = ( 23 × 861 ) / 1
LCM(23,861) = 19803 / 1
LCM(23,861) = 19803
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 2460/23, 5399/861?
Answer: GCF of Numerators as per given numbers 2460/23, 5399/861 is
GCF of Numerators i.e. for 2460,5399 is 1
LCM of denominators i.e. for 23,861 is 19803.
Thus, GCF of Fractions is 1/19803.Finally, GCF of Fractions for 2460/23, 5399/861 is 1/19803.