Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2158/81,5684/399
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 2158,5684
Greatest Common Factor of Numerators i.e. GCF of 2158,5684 is 2 .
LCM of Denominators means LCM of 81,399 as per the given fractions.
LCM of 81,399 is 10773 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2158,5684
2 | 2158, 5684 |
1079, 2842 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2158
List of positive integer factors of 2158 that divides 2158 without a remainder.
1,2,13,26,83,166,1079,2158
Factors of 5684
List of positive integer factors of 5684 that divides 5684 without a remainder.
1,2,4,7,14,28,29,49,58,98,116,196,203,406,812,1421,2842,5684
Greatest Common Factor
We found the factors 2158,5684 . The biggest common factor number is the GCF number.
So the greatest common factor 2158,5684 is 2.
Lets's calculate LCM of 81,399
3 | 81, 399 |
27, 133 |
∴ So the LCM of the given numbers is 3 x 27 x 133 = 10773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10773
Therefore, the GCF of Fractions 2158/81,5684/399 is 2/10773
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 81,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,399) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(81,399) x common factors =3 x 1 = 3
LCM(81,399) = ( 81 × 399 ) / 3
LCM(81,399) = 32319 / 3
LCM(81,399) = 10773
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 2158/81, 5684/399?
Answer: GCF of Numerators as per given numbers 2158/81, 5684/399 is
GCF of Numerators i.e. for 2158,5684 is 2
LCM of denominators i.e. for 81,399 is 10773.
Thus, GCF of Fractions is 2/10773.Finally, GCF of Fractions for 2158/81, 5684/399 is 2/10773.