Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/18,576/4243
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 819,576
Greatest Common Factor of Numerators i.e. GCF of 819,576 is 9 .
LCM of Denominators means LCM of 18,4243 as per the given fractions.
LCM of 18,4243 is 76374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,576
3 | 819, 576 |
3 | 273, 192 |
91, 64 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 819,576 . The biggest common factor number is the GCF number.
So the greatest common factor 819,576 is 9.
Lets's calculate LCM of 18,4243
Given numbers has no common factors except 1. So, there LCM is their product i.e 76374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/76374
Therefore, the GCF of Fractions 819/18,576/4243 is 9/76374
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 18,4243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,4243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(18,4243) x common factors =1 x 1 = 1
LCM(18,4243) = ( 18 × 4243 ) / 1
LCM(18,4243) = 76374 / 1
LCM(18,4243) = 76374
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 819/18, 576/4243?
Answer: GCF of Numerators as per given numbers 819/18, 576/4243 is
GCF of Numerators i.e. for 819,576 is 9
LCM of denominators i.e. for 18,4243 is 76374.
Thus, GCF of Fractions is 9/76374.Finally, GCF of Fractions for 819/18, 576/4243 is 9/76374.