Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 338/55,867/29,473/286
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 338,867,473
Greatest Common Factor of Numerators i.e. GCF of 338,867,473 is 1 .
LCM of Denominators means LCM of 55,29,286 as per the given fractions.
LCM of 55,29,286 is 41470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 338,867,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 338,867,473 . The biggest common factor number is the GCF number.
So the greatest common factor 338,867,473 is 1.
Lets's calculate LCM of 55,29,286
11 | 55, 29, 286 |
5, 29, 26 |
∴ So the LCM of the given numbers is 11 x 5 x 29 x 26 = 41470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41470
Therefore, the GCF of Fractions 338/55,867/29,473/286 is 1/41470
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 55,29,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,29,286) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(55,29,286) x common factors =1 x 11 = 11
LCM(55,29,286) = ( 55 × 29 × 286 ) / 11
LCM(55,29,286) = 456170 / 11
LCM(55,29,286) = 41470
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 338/55, 867/29, 473/286?
Answer: GCF of Numerators as per given numbers 338/55, 867/29, 473/286 is
GCF of Numerators i.e. for 338,867,473 is 1
LCM of denominators i.e. for 55,29,286 is 41470.
Thus, GCF of Fractions is 1/41470.Finally, GCF of Fractions for 338/55, 867/29, 473/286 is 1/41470.