Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8483/343,2833/9554
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 8483,2833
Greatest Common Factor of Numerators i.e. GCF of 8483,2833 is 1 .
LCM of Denominators means LCM of 343,9554 as per the given fractions.
LCM of 343,9554 is 3277022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8483,2833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8483
List of positive integer factors of 8483 that divides 8483 without a remainder.
1,17,499,8483
Factors of 2833
List of positive integer factors of 2833 that divides 2833 without a remainder.
1,2833
Greatest Common Factor
We found the factors 8483,2833 . The biggest common factor number is the GCF number.
So the greatest common factor 8483,2833 is 1.
Lets's calculate LCM of 343,9554
Given numbers has no common factors except 1. So, there LCM is their product i.e 3277022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3277022
Therefore, the GCF of Fractions 8483/343,2833/9554 is 1/3277022
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 343,9554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,9554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,9554) x common factors =1 x 1 = 1
LCM(343,9554) = ( 343 × 9554 ) / 1
LCM(343,9554) = 3277022 / 1
LCM(343,9554) = 3277022
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 8483/343, 2833/9554?
Answer: GCF of Numerators as per given numbers 8483/343, 2833/9554 is
GCF of Numerators i.e. for 8483,2833 is 1
LCM of denominators i.e. for 343,9554 is 3277022.
Thus, GCF of Fractions is 1/3277022.Finally, GCF of Fractions for 8483/343, 2833/9554 is 1/3277022.