Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 244/747,5215/4756
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 244,5215
Greatest Common Factor of Numerators i.e. GCF of 244,5215 is 1 .
LCM of Denominators means LCM of 747,4756 as per the given fractions.
LCM of 747,4756 is 3552732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 244,5215
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Factors of 5215
List of positive integer factors of 5215 that divides 5215 without a remainder.
1,5,7,35,149,745,1043,5215
Greatest Common Factor
We found the factors 244,5215 . The biggest common factor number is the GCF number.
So the greatest common factor 244,5215 is 1.
Lets's calculate LCM of 747,4756
Given numbers has no common factors except 1. So, there LCM is their product i.e 3552732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3552732
Therefore, the GCF of Fractions 244/747,5215/4756 is 1/3552732
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 747,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,4756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(747,4756) x common factors =1 x 1 = 1
LCM(747,4756) = ( 747 × 4756 ) / 1
LCM(747,4756) = 3552732 / 1
LCM(747,4756) = 3552732
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 244/747, 5215/4756?
Answer: GCF of Numerators as per given numbers 244/747, 5215/4756 is
GCF of Numerators i.e. for 244,5215 is 1
LCM of denominators i.e. for 747,4756 is 3552732.
Thus, GCF of Fractions is 1/3552732.Finally, GCF of Fractions for 244/747, 5215/4756 is 1/3552732.