Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/462,479/479,403/190
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 384,479,403
Greatest Common Factor of Numerators i.e. GCF of 384,479,403 is 1 .
LCM of Denominators means LCM of 462,479,190 as per the given fractions.
LCM of 462,479,190 is 21023310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 384,479,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 384,479,403 . The biggest common factor number is the GCF number.
So the greatest common factor 384,479,403 is 1.
Lets's calculate LCM of 462,479,190
2 | 462, 479, 190 |
231, 479, 95 |
∴ So the LCM of the given numbers is 2 x 231 x 479 x 95 = 21023310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21023310
Therefore, the GCF of Fractions 384/462,479/479,403/190 is 1/21023310
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 462,479,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,479,190) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(462,479,190) x common factors =1 x 2 = 2
LCM(462,479,190) = ( 462 × 479 × 190 ) / 2
LCM(462,479,190) = 42046620 / 2
LCM(462,479,190) = 21023310
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 384/462, 479/479, 403/190?
Answer: GCF of Numerators as per given numbers 384/462, 479/479, 403/190 is
GCF of Numerators i.e. for 384,479,403 is 1
LCM of denominators i.e. for 462,479,190 is 21023310.
Thus, GCF of Fractions is 1/21023310.Finally, GCF of Fractions for 384/462, 479/479, 403/190 is 1/21023310.