Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7322/203,2671/4084
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 7322,2671
Greatest Common Factor of Numerators i.e. GCF of 7322,2671 is 1 .
LCM of Denominators means LCM of 203,4084 as per the given fractions.
LCM of 203,4084 is 829052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7322,2671
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7322
List of positive integer factors of 7322 that divides 7322 without a remainder.
1,2,7,14,523,1046,3661,7322
Factors of 2671
List of positive integer factors of 2671 that divides 2671 without a remainder.
1,2671
Greatest Common Factor
We found the factors 7322,2671 . The biggest common factor number is the GCF number.
So the greatest common factor 7322,2671 is 1.
Lets's calculate LCM of 203,4084
Given numbers has no common factors except 1. So, there LCM is their product i.e 829052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/829052
Therefore, the GCF of Fractions 7322/203,2671/4084 is 1/829052
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 203,4084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,4084) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,4084) x common factors =1 x 1 = 1
LCM(203,4084) = ( 203 × 4084 ) / 1
LCM(203,4084) = 829052 / 1
LCM(203,4084) = 829052
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 7322/203, 2671/4084?
Answer: GCF of Numerators as per given numbers 7322/203, 2671/4084 is
GCF of Numerators i.e. for 7322,2671 is 1
LCM of denominators i.e. for 203,4084 is 829052.
Thus, GCF of Fractions is 1/829052.Finally, GCF of Fractions for 7322/203, 2671/4084 is 1/829052.