Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/48,208/39,728/923
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 188,208,728
Greatest Common Factor of Numerators i.e. GCF of 188,208,728 is 4 .
LCM of Denominators means LCM of 48,39,923 as per the given fractions.
LCM of 48,39,923 is 44304 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 188,208,728
2 | 188, 208, 728 |
2 | 94, 104, 364 |
47, 52, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 188,208,728 . The biggest common factor number is the GCF number.
So the greatest common factor 188,208,728 is 4.
Lets's calculate LCM of 48,39,923
3 | 48, 39, 923 |
13 | 16, 13, 923 |
16, 1, 71 |
∴ So the LCM of the given numbers is 3 x 13 x 16 x 1 x 71 = 44304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/44304
Therefore, the GCF of Fractions 188/48,208/39,728/923 is 4/44304
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 48,39,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,39,923) = 1
common factors(in case of two or more numbers have common factors) = 39
GCF(48,39,923) x common factors =1 x 39 = 39
LCM(48,39,923) = ( 48 × 39 × 923 ) / 39
LCM(48,39,923) = 1727856 / 39
LCM(48,39,923) = 44304
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 188/48, 208/39, 728/923?
Answer: GCF of Numerators as per given numbers 188/48, 208/39, 728/923 is
GCF of Numerators i.e. for 188,208,728 is 4
LCM of denominators i.e. for 48,39,923 is 44304.
Thus, GCF of Fractions is 4/44304.Finally, GCF of Fractions for 188/48, 208/39, 728/923 is 4/44304.