Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 483/522,864/178
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 483,864
Greatest Common Factor of Numerators i.e. GCF of 483,864 is 3 .
LCM of Denominators means LCM of 522,178 as per the given fractions.
LCM of 522,178 is 46458 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 483,864
3 | 483, 864 |
161, 288 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Greatest Common Factor
We found the factors 483,864 . The biggest common factor number is the GCF number.
So the greatest common factor 483,864 is 3.
Lets's calculate LCM of 522,178
2 | 522, 178 |
261, 89 |
∴ So the LCM of the given numbers is 2 x 261 x 89 = 46458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46458
Therefore, the GCF of Fractions 483/522,864/178 is 3/46458
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 522,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,178) x common factors =2 x 1 = 2
LCM(522,178) = ( 522 × 178 ) / 2
LCM(522,178) = 92916 / 2
LCM(522,178) = 46458
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 483/522, 864/178?
Answer: GCF of Numerators as per given numbers 483/522, 864/178 is
GCF of Numerators i.e. for 483,864 is 3
LCM of denominators i.e. for 522,178 is 46458.
Thus, GCF of Fractions is 3/46458.Finally, GCF of Fractions for 483/522, 864/178 is 3/46458.