Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 833/18,103/4164
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 833,103
Greatest Common Factor of Numerators i.e. GCF of 833,103 is 1 .
LCM of Denominators means LCM of 18,4164 as per the given fractions.
LCM of 18,4164 is 12492 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 833,103
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Greatest Common Factor
We found the factors 833,103 . The biggest common factor number is the GCF number.
So the greatest common factor 833,103 is 1.
Lets's calculate LCM of 18,4164
2 | 18, 4164 |
3 | 9, 2082 |
3, 694 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 694 = 12492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12492
Therefore, the GCF of Fractions 833/18,103/4164 is 1/12492
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 18,4164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,4164) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(18,4164) x common factors =6 x 1 = 6
LCM(18,4164) = ( 18 × 4164 ) / 6
LCM(18,4164) = 74952 / 6
LCM(18,4164) = 12492
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 833/18, 103/4164?
Answer: GCF of Numerators as per given numbers 833/18, 103/4164 is
GCF of Numerators i.e. for 833,103 is 1
LCM of denominators i.e. for 18,4164 is 12492.
Thus, GCF of Fractions is 1/12492.Finally, GCF of Fractions for 833/18, 103/4164 is 1/12492.