Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/336,729/266,912/172
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 27,729,912
Greatest Common Factor of Numerators i.e. GCF of 27,729,912 is 3 .
LCM of Denominators means LCM of 336,266,172 as per the given fractions.
LCM of 336,266,172 is 274512 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,729,912
3 | 27, 729, 912 |
9, 243, 304 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Greatest Common Factor
We found the factors 27,729,912 . The biggest common factor number is the GCF number.
So the greatest common factor 27,729,912 is 3.
Lets's calculate LCM of 336,266,172
2 | 336, 266, 172 |
2 | 168, 133, 86 |
7 | 84, 133, 43 |
12, 19, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 12 x 19 x 43 = 274512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/274512
Therefore, the GCF of Fractions 27/336,729/266,912/172 is 3/274512
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 336,266,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,266,172) = 2
common factors(in case of two or more numbers have common factors) = 28
GCF(336,266,172) x common factors =2 x 28 = 56
LCM(336,266,172) = ( 336 × 266 × 172 ) / 56
LCM(336,266,172) = 15372672 / 56
LCM(336,266,172) = 274512
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 27/336, 729/266, 912/172?
Answer: GCF of Numerators as per given numbers 27/336, 729/266, 912/172 is
GCF of Numerators i.e. for 27,729,912 is 3
LCM of denominators i.e. for 336,266,172 is 274512.
Thus, GCF of Fractions is 3/274512.Finally, GCF of Fractions for 27/336, 729/266, 912/172 is 3/274512.