Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 505/442,164/652,327/163
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 505,164,327
Greatest Common Factor of Numerators i.e. GCF of 505,164,327 is 1 .
LCM of Denominators means LCM of 442,652,163 as per the given fractions.
LCM of 442,652,163 is 144092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 505,164,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 505,164,327 . The biggest common factor number is the GCF number.
So the greatest common factor 505,164,327 is 1.
Lets's calculate LCM of 442,652,163
2 | 442, 652, 163 |
163 | 221, 326, 163 |
221, 2, 1 |
∴ So the LCM of the given numbers is 2 x 163 x 221 x 2 x 1 = 144092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144092
Therefore, the GCF of Fractions 505/442,164/652,327/163 is 1/144092
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 442,652,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,652,163) = 1
common factors(in case of two or more numbers have common factors) = 326
GCF(442,652,163) x common factors =1 x 326 = 326
LCM(442,652,163) = ( 442 × 652 × 163 ) / 326
LCM(442,652,163) = 46973992 / 326
LCM(442,652,163) = 144092
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 505/442, 164/652, 327/163?
Answer: GCF of Numerators as per given numbers 505/442, 164/652, 327/163 is
GCF of Numerators i.e. for 505,164,327 is 1
LCM of denominators i.e. for 442,652,163 is 144092.
Thus, GCF of Fractions is 1/144092.Finally, GCF of Fractions for 505/442, 164/652, 327/163 is 1/144092.