Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9180/273,9210/1193
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 9180,9210
Greatest Common Factor of Numerators i.e. GCF of 9180,9210 is 30 .
LCM of Denominators means LCM of 273,1193 as per the given fractions.
LCM of 273,1193 is 325689 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9180,9210
2 | 9180, 9210 |
3 | 4590, 4605 |
5 | 1530, 1535 |
306, 307 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 9180
List of positive integer factors of 9180 that divides 9180 without a remainder.
1,2,3,4,5,6,9,10,12,15,17,18,20,27,30,34,36,45,51,54,60,68,85,90,102,108,135,153,170,180,204,255,270,306,340,459,510,540,612,765,918,1020,1530,1836,2295,3060,4590,9180
Factors of 9210
List of positive integer factors of 9210 that divides 9210 without a remainder.
1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 9180,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 9180,9210 is 30.
Lets's calculate LCM of 273,1193
Given numbers has no common factors except 1. So, there LCM is their product i.e 325689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/325689
Therefore, the GCF of Fractions 9180/273,9210/1193 is 30/325689
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 273,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,1193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,1193) x common factors =1 x 1 = 1
LCM(273,1193) = ( 273 × 1193 ) / 1
LCM(273,1193) = 325689 / 1
LCM(273,1193) = 325689
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 9180/273, 9210/1193?
Answer: GCF of Numerators as per given numbers 9180/273, 9210/1193 is
GCF of Numerators i.e. for 9180,9210 is 30
LCM of denominators i.e. for 273,1193 is 325689.
Thus, GCF of Fractions is 30/325689.Finally, GCF of Fractions for 9180/273, 9210/1193 is 30/325689.