Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 663/802,5832/287
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 663,5832
Greatest Common Factor of Numerators i.e. GCF of 663,5832 is 3 .
LCM of Denominators means LCM of 802,287 as per the given fractions.
LCM of 802,287 is 230174 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 663,5832
3 | 663, 5832 |
221, 1944 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 5832
List of positive integer factors of 5832 that divides 5832 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Greatest Common Factor
We found the factors 663,5832 . The biggest common factor number is the GCF number.
So the greatest common factor 663,5832 is 3.
Lets's calculate LCM of 802,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 230174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/230174
Therefore, the GCF of Fractions 663/802,5832/287 is 3/230174
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 802,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,287) x common factors =1 x 1 = 1
LCM(802,287) = ( 802 × 287 ) / 1
LCM(802,287) = 230174 / 1
LCM(802,287) = 230174
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 663/802, 5832/287?
Answer: GCF of Numerators as per given numbers 663/802, 5832/287 is
GCF of Numerators i.e. for 663,5832 is 3
LCM of denominators i.e. for 802,287 is 230174.
Thus, GCF of Fractions is 3/230174.Finally, GCF of Fractions for 663/802, 5832/287 is 3/230174.