Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 230/198,801/728
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 230,801
Greatest Common Factor of Numerators i.e. GCF of 230,801 is 1 .
LCM of Denominators means LCM of 198,728 as per the given fractions.
LCM of 198,728 is 72072 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 230,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 230,801 . The biggest common factor number is the GCF number.
So the greatest common factor 230,801 is 1.
Lets's calculate LCM of 198,728
2 | 198, 728 |
99, 364 |
∴ So the LCM of the given numbers is 2 x 99 x 364 = 72072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72072
Therefore, the GCF of Fractions 230/198,801/728 is 1/72072
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 198,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,728) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(198,728) x common factors =2 x 1 = 2
LCM(198,728) = ( 198 × 728 ) / 2
LCM(198,728) = 144144 / 2
LCM(198,728) = 72072
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 230/198, 801/728?
Answer: GCF of Numerators as per given numbers 230/198, 801/728 is
GCF of Numerators i.e. for 230,801 is 1
LCM of denominators i.e. for 198,728 is 72072.
Thus, GCF of Fractions is 1/72072.Finally, GCF of Fractions for 230/198, 801/728 is 1/72072.