Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 138/99,927/67,408/306
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 138,927,408
Greatest Common Factor of Numerators i.e. GCF of 138,927,408 is 3 .
LCM of Denominators means LCM of 99,67,306 as per the given fractions.
LCM of 99,67,306 is 225522 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 138,927,408
3 | 138, 927, 408 |
46, 309, 136 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 138,927,408 . The biggest common factor number is the GCF number.
So the greatest common factor 138,927,408 is 3.
Lets's calculate LCM of 99,67,306
3 | 99, 67, 306 |
3 | 33, 67, 102 |
11, 67, 34 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 67 x 34 = 225522
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/225522
Therefore, the GCF of Fractions 138/99,927/67,408/306 is 3/225522
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 99,67,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,67,306) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(99,67,306) x common factors =1 x 9 = 9
LCM(99,67,306) = ( 99 × 67 × 306 ) / 9
LCM(99,67,306) = 2029698 / 9
LCM(99,67,306) = 225522
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 138/99, 927/67, 408/306?
Answer: GCF of Numerators as per given numbers 138/99, 927/67, 408/306 is
GCF of Numerators i.e. for 138,927,408 is 3
LCM of denominators i.e. for 99,67,306 is 225522.
Thus, GCF of Fractions is 3/225522.Finally, GCF of Fractions for 138/99, 927/67, 408/306 is 3/225522.