Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9858/461,2191/7273
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 9858,2191
Greatest Common Factor of Numerators i.e. GCF of 9858,2191 is 1 .
LCM of Denominators means LCM of 461,7273 as per the given fractions.
LCM of 461,7273 is 3352853 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9858,2191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9858
List of positive integer factors of 9858 that divides 9858 without a remainder.
1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Factors of 2191
List of positive integer factors of 2191 that divides 2191 without a remainder.
1,7,313,2191
Greatest Common Factor
We found the factors 9858,2191 . The biggest common factor number is the GCF number.
So the greatest common factor 9858,2191 is 1.
Lets's calculate LCM of 461,7273
Given numbers has no common factors except 1. So, there LCM is their product i.e 3352853
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3352853
Therefore, the GCF of Fractions 9858/461,2191/7273 is 1/3352853
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 461,7273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,7273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,7273) x common factors =1 x 1 = 1
LCM(461,7273) = ( 461 × 7273 ) / 1
LCM(461,7273) = 3352853 / 1
LCM(461,7273) = 3352853
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 9858/461, 2191/7273?
Answer: GCF of Numerators as per given numbers 9858/461, 2191/7273 is
GCF of Numerators i.e. for 9858,2191 is 1
LCM of denominators i.e. for 461,7273 is 3352853.
Thus, GCF of Fractions is 1/3352853.Finally, GCF of Fractions for 9858/461, 2191/7273 is 1/3352853.