Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 197/909,215/104,368/810
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 197,215,368
Greatest Common Factor of Numerators i.e. GCF of 197,215,368 is 1 .
LCM of Denominators means LCM of 909,104,810 as per the given fractions.
LCM of 909,104,810 is 4254120 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 197,215,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 197,215,368 . The biggest common factor number is the GCF number.
So the greatest common factor 197,215,368 is 1.
Lets's calculate LCM of 909,104,810
2 | 909, 104, 810 |
3 | 909, 52, 405 |
3 | 303, 52, 135 |
101, 52, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 101 x 52 x 45 = 4254120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4254120
Therefore, the GCF of Fractions 197/909,215/104,368/810 is 1/4254120
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 909,104,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,104,810) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(909,104,810) x common factors =1 x 18 = 18
LCM(909,104,810) = ( 909 × 104 × 810 ) / 18
LCM(909,104,810) = 76574160 / 18
LCM(909,104,810) = 4254120
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 197/909, 215/104, 368/810?
Answer: GCF of Numerators as per given numbers 197/909, 215/104, 368/810 is
GCF of Numerators i.e. for 197,215,368 is 1
LCM of denominators i.e. for 909,104,810 is 4254120.
Thus, GCF of Fractions is 1/4254120.Finally, GCF of Fractions for 197/909, 215/104, 368/810 is 1/4254120.