Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 581/51,223/64,324/804
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 581,223,324
Greatest Common Factor of Numerators i.e. GCF of 581,223,324 is 1 .
LCM of Denominators means LCM of 51,64,804 as per the given fractions.
LCM of 51,64,804 is 218688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 581,223,324
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 581,223,324 . The biggest common factor number is the GCF number.
So the greatest common factor 581,223,324 is 1.
Lets's calculate LCM of 51,64,804
2 | 51, 64, 804 |
2 | 51, 32, 402 |
3 | 51, 16, 201 |
17, 16, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 16 x 67 = 218688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218688
Therefore, the GCF of Fractions 581/51,223/64,324/804 is 1/218688
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 51,64,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,64,804) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(51,64,804) x common factors =1 x 12 = 12
LCM(51,64,804) = ( 51 × 64 × 804 ) / 12
LCM(51,64,804) = 2624256 / 12
LCM(51,64,804) = 218688
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 581/51, 223/64, 324/804?
Answer: GCF of Numerators as per given numbers 581/51, 223/64, 324/804 is
GCF of Numerators i.e. for 581,223,324 is 1
LCM of denominators i.e. for 51,64,804 is 218688.
Thus, GCF of Fractions is 1/218688.Finally, GCF of Fractions for 581/51, 223/64, 324/804 is 1/218688.