Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9821/365,3378/5981
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 9821,3378
Greatest Common Factor of Numerators i.e. GCF of 9821,3378 is 1 .
LCM of Denominators means LCM of 365,5981 as per the given fractions.
LCM of 365,5981 is 2183065 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9821,3378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9821
List of positive integer factors of 9821 that divides 9821 without a remainder.
1,7,23,61,161,427,1403,9821
Factors of 3378
List of positive integer factors of 3378 that divides 3378 without a remainder.
1,2,3,6,563,1126,1689,3378
Greatest Common Factor
We found the factors 9821,3378 . The biggest common factor number is the GCF number.
So the greatest common factor 9821,3378 is 1.
Lets's calculate LCM of 365,5981
Given numbers has no common factors except 1. So, there LCM is their product i.e 2183065
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2183065
Therefore, the GCF of Fractions 9821/365,3378/5981 is 1/2183065
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 365,5981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,5981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,5981) x common factors =1 x 1 = 1
LCM(365,5981) = ( 365 × 5981 ) / 1
LCM(365,5981) = 2183065 / 1
LCM(365,5981) = 2183065
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 9821/365, 3378/5981?
Answer: GCF of Numerators as per given numbers 9821/365, 3378/5981 is
GCF of Numerators i.e. for 9821,3378 is 1
LCM of denominators i.e. for 365,5981 is 2183065.
Thus, GCF of Fractions is 1/2183065.Finally, GCF of Fractions for 9821/365, 3378/5981 is 1/2183065.