Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9103/497,8940/4728
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 9103,8940
Greatest Common Factor of Numerators i.e. GCF of 9103,8940 is 1 .
LCM of Denominators means LCM of 497,4728 as per the given fractions.
LCM of 497,4728 is 2349816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9103,8940
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9103
List of positive integer factors of 9103 that divides 9103 without a remainder.
1,9103
Factors of 8940
List of positive integer factors of 8940 that divides 8940 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Greatest Common Factor
We found the factors 9103,8940 . The biggest common factor number is the GCF number.
So the greatest common factor 9103,8940 is 1.
Lets's calculate LCM of 497,4728
Given numbers has no common factors except 1. So, there LCM is their product i.e 2349816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2349816
Therefore, the GCF of Fractions 9103/497,8940/4728 is 1/2349816
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 497,4728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,4728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,4728) x common factors =1 x 1 = 1
LCM(497,4728) = ( 497 × 4728 ) / 1
LCM(497,4728) = 2349816 / 1
LCM(497,4728) = 2349816
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 9103/497, 8940/4728?
Answer: GCF of Numerators as per given numbers 9103/497, 8940/4728 is
GCF of Numerators i.e. for 9103,8940 is 1
LCM of denominators i.e. for 497,4728 is 2349816.
Thus, GCF of Fractions is 1/2349816.Finally, GCF of Fractions for 9103/497, 8940/4728 is 1/2349816.