Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/131,246/149
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 183,246
Greatest Common Factor of Numerators i.e. GCF of 183,246 is 3 .
LCM of Denominators means LCM of 131,149 as per the given fractions.
LCM of 131,149 is 19519 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,246
3 | 183, 246 |
61, 82 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Greatest Common Factor
We found the factors 183,246 . The biggest common factor number is the GCF number.
So the greatest common factor 183,246 is 3.
Lets's calculate LCM of 131,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 19519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19519
Therefore, the GCF of Fractions 183/131,246/149 is 3/19519
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 131,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,149) x common factors =1 x 1 = 1
LCM(131,149) = ( 131 × 149 ) / 1
LCM(131,149) = 19519 / 1
LCM(131,149) = 19519
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 183/131, 246/149?
Answer: GCF of Numerators as per given numbers 183/131, 246/149 is
GCF of Numerators i.e. for 183,246 is 3
LCM of denominators i.e. for 131,149 is 19519.
Thus, GCF of Fractions is 3/19519.Finally, GCF of Fractions for 183/131, 246/149 is 3/19519.