Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/298,589/992,328/269
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 188,589,328
Greatest Common Factor of Numerators i.e. GCF of 188,589,328 is 1 .
LCM of Denominators means LCM of 298,992,269 as per the given fractions.
LCM of 298,992,269 is 39760352 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 188,589,328
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 188,589,328 . The biggest common factor number is the GCF number.
So the greatest common factor 188,589,328 is 1.
Lets's calculate LCM of 298,992,269
2 | 298, 992, 269 |
149, 496, 269 |
∴ So the LCM of the given numbers is 2 x 149 x 496 x 269 = 39760352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39760352
Therefore, the GCF of Fractions 188/298,589/992,328/269 is 1/39760352
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 298,992,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,992,269) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(298,992,269) x common factors =1 x 2 = 2
LCM(298,992,269) = ( 298 × 992 × 269 ) / 2
LCM(298,992,269) = 79520704 / 2
LCM(298,992,269) = 39760352
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 188/298, 589/992, 328/269?
Answer: GCF of Numerators as per given numbers 188/298, 589/992, 328/269 is
GCF of Numerators i.e. for 188,589,328 is 1
LCM of denominators i.e. for 298,992,269 is 39760352.
Thus, GCF of Fractions is 1/39760352.Finally, GCF of Fractions for 188/298, 589/992, 328/269 is 1/39760352.