Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/906,6090/372
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 193,6090
Greatest Common Factor of Numerators i.e. GCF of 193,6090 is 1 .
LCM of Denominators means LCM of 906,372 as per the given fractions.
LCM of 906,372 is 56172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,6090
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 6090
List of positive integer factors of 6090 that divides 6090 without a remainder.
1,2,3,5,6,7,10,14,15,21,29,30,35,42,58,70,87,105,145,174,203,210,290,406,435,609,870,1015,1218,2030,3045,6090
Greatest Common Factor
We found the factors 193,6090 . The biggest common factor number is the GCF number.
So the greatest common factor 193,6090 is 1.
Lets's calculate LCM of 906,372
2 | 906, 372 |
3 | 453, 186 |
151, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 151 x 62 = 56172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56172
Therefore, the GCF of Fractions 193/906,6090/372 is 1/56172
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 906,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,372) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(906,372) x common factors =6 x 1 = 6
LCM(906,372) = ( 906 × 372 ) / 6
LCM(906,372) = 337032 / 6
LCM(906,372) = 56172
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 193/906, 6090/372?
Answer: GCF of Numerators as per given numbers 193/906, 6090/372 is
GCF of Numerators i.e. for 193,6090 is 1
LCM of denominators i.e. for 906,372 is 56172.
Thus, GCF of Fractions is 1/56172.Finally, GCF of Fractions for 193/906, 6090/372 is 1/56172.