Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8393/810,4773/4644
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 8393,4773
Greatest Common Factor of Numerators i.e. GCF of 8393,4773 is 1 .
LCM of Denominators means LCM of 810,4644 as per the given fractions.
LCM of 810,4644 is 69660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8393,4773
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1,7,11,77,109,763,1199,8393
Factors of 4773
List of positive integer factors of 4773 that divides 4773 without a remainder.
1,3,37,43,111,129,1591,4773
Greatest Common Factor
We found the factors 8393,4773 . The biggest common factor number is the GCF number.
So the greatest common factor 8393,4773 is 1.
Lets's calculate LCM of 810,4644
2 | 810, 4644 |
3 | 405, 2322 |
3 | 135, 774 |
3 | 45, 258 |
15, 86 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 15 x 86 = 69660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69660
Therefore, the GCF of Fractions 8393/810,4773/4644 is 1/69660
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 810,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,4644) = 54
common factors(in case of two or more numbers have common factors) = 1
GCF(810,4644) x common factors =54 x 1 = 54
LCM(810,4644) = ( 810 × 4644 ) / 54
LCM(810,4644) = 3761640 / 54
LCM(810,4644) = 69660
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 8393/810, 4773/4644?
Answer: GCF of Numerators as per given numbers 8393/810, 4773/4644 is
GCF of Numerators i.e. for 8393,4773 is 1
LCM of denominators i.e. for 810,4644 is 69660.
Thus, GCF of Fractions is 1/69660.Finally, GCF of Fractions for 8393/810, 4773/4644 is 1/69660.