Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 576/516,639/258,309/956
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 576,639,309
Greatest Common Factor of Numerators i.e. GCF of 576,639,309 is 3 .
LCM of Denominators means LCM of 516,258,956 as per the given fractions.
LCM of 516,258,956 is 123324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 576,639,309
3 | 576, 639, 309 |
192, 213, 103 |
∴ So the GCF of the given numbers is 3 = 3
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
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 576,639,309 . The biggest common factor number is the GCF number.
So the greatest common factor 576,639,309 is 3.
Lets's calculate LCM of 516,258,956
2 | 516, 258, 956 |
2 | 258, 129, 478 |
3 | 129, 129, 239 |
43 | 43, 43, 239 |
1, 1, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 1 x 1 x 239 = 123324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/123324
Therefore, the GCF of Fractions 576/516,639/258,309/956 is 3/123324
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 516,258,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,258,956) = 2
common factors(in case of two or more numbers have common factors) = 516
GCF(516,258,956) x common factors =2 x 516 = 1032
LCM(516,258,956) = ( 516 × 258 × 956 ) / 1032
LCM(516,258,956) = 127270368 / 1032
LCM(516,258,956) = 123324
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 576/516, 639/258, 309/956?
Answer: GCF of Numerators as per given numbers 576/516, 639/258, 309/956 is
GCF of Numerators i.e. for 576,639,309 is 3
LCM of denominators i.e. for 516,258,956 is 123324.
Thus, GCF of Fractions is 3/123324.Finally, GCF of Fractions for 576/516, 639/258, 309/956 is 3/123324.