Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4387/563,2398/8978
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 4387,2398
Greatest Common Factor of Numerators i.e. GCF of 4387,2398 is 1 .
LCM of Denominators means LCM of 563,8978 as per the given fractions.
LCM of 563,8978 is 5054614 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4387,2398
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4387
List of positive integer factors of 4387 that divides 4387 without a remainder.
1,41,107,4387
Factors of 2398
List of positive integer factors of 2398 that divides 2398 without a remainder.
1,2,11,22,109,218,1199,2398
Greatest Common Factor
We found the factors 4387,2398 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,2398 is 1.
Lets's calculate LCM of 563,8978
Given numbers has no common factors except 1. So, there LCM is their product i.e 5054614
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5054614
Therefore, the GCF of Fractions 4387/563,2398/8978 is 1/5054614
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 563,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,8978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,8978) x common factors =1 x 1 = 1
LCM(563,8978) = ( 563 × 8978 ) / 1
LCM(563,8978) = 5054614 / 1
LCM(563,8978) = 5054614
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 4387/563, 2398/8978?
Answer: GCF of Numerators as per given numbers 4387/563, 2398/8978 is
GCF of Numerators i.e. for 4387,2398 is 1
LCM of denominators i.e. for 563,8978 is 5054614.
Thus, GCF of Fractions is 1/5054614.Finally, GCF of Fractions for 4387/563, 2398/8978 is 1/5054614.