Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 269/30,566/28,587/309
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 269,566,587
Greatest Common Factor of Numerators i.e. GCF of 269,566,587 is 1 .
LCM of Denominators means LCM of 30,28,309 as per the given fractions.
LCM of 30,28,309 is 43260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 269,566,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 269,566,587 . The biggest common factor number is the GCF number.
So the greatest common factor 269,566,587 is 1.
Lets's calculate LCM of 30,28,309
2 | 30, 28, 309 |
3 | 15, 14, 309 |
5, 14, 103 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 14 x 103 = 43260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43260
Therefore, the GCF of Fractions 269/30,566/28,587/309 is 1/43260
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 30,28,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,28,309) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(30,28,309) x common factors =1 x 6 = 6
LCM(30,28,309) = ( 30 × 28 × 309 ) / 6
LCM(30,28,309) = 259560 / 6
LCM(30,28,309) = 43260
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 269/30, 566/28, 587/309?
Answer: GCF of Numerators as per given numbers 269/30, 566/28, 587/309 is
GCF of Numerators i.e. for 269,566,587 is 1
LCM of denominators i.e. for 30,28,309 is 43260.
Thus, GCF of Fractions is 1/43260.Finally, GCF of Fractions for 269/30, 566/28, 587/309 is 1/43260.