Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 162/820,1188/1915
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 162,1188
Greatest Common Factor of Numerators i.e. GCF of 162,1188 is 54 .
LCM of Denominators means LCM of 820,1915 as per the given fractions.
LCM of 820,1915 is 314060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 162,1188
2 | 162, 1188 |
3 | 81, 594 |
3 | 27, 198 |
3 | 9, 66 |
3, 22 |
∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 1188
List of positive integer factors of 1188 that divides 1188 without a remainder.
1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 162,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 162,1188 is 54.
Lets's calculate LCM of 820,1915
5 | 820, 1915 |
164, 383 |
∴ So the LCM of the given numbers is 5 x 164 x 383 = 314060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 54/314060
Therefore, the GCF of Fractions 162/820,1188/1915 is 54/314060
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 820,1915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,1915) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(820,1915) x common factors =5 x 1 = 5
LCM(820,1915) = ( 820 × 1915 ) / 5
LCM(820,1915) = 1570300 / 5
LCM(820,1915) = 314060
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 162/820, 1188/1915?
Answer: GCF of Numerators as per given numbers 162/820, 1188/1915 is
GCF of Numerators i.e. for 162,1188 is 54
LCM of denominators i.e. for 820,1915 is 314060.
Thus, GCF of Fractions is 54/314060.Finally, GCF of Fractions for 162/820, 1188/1915 is 54/314060.