Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/15,62/481,858/361
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 27,62,858
Greatest Common Factor of Numerators i.e. GCF of 27,62,858 is 1 .
LCM of Denominators means LCM of 15,481,361 as per the given fractions.
LCM of 15,481,361 is 2604615 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,62,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 27,62,858 . The biggest common factor number is the GCF number.
So the greatest common factor 27,62,858 is 1.
Lets's calculate LCM of 15,481,361
Given numbers has no common factors except 1. So, there LCM is their product i.e 2604615
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2604615
Therefore, the GCF of Fractions 27/15,62/481,858/361 is 1/2604615
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 15,481,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,481,361) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,481,361) x common factors =1 x 1 = 1
LCM(15,481,361) = ( 15 × 481 × 361 ) / 1
LCM(15,481,361) = 2604615 / 1
LCM(15,481,361) = 2604615
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 27/15, 62/481, 858/361?
Answer: GCF of Numerators as per given numbers 27/15, 62/481, 858/361 is
GCF of Numerators i.e. for 27,62,858 is 1
LCM of denominators i.e. for 15,481,361 is 2604615.
Thus, GCF of Fractions is 1/2604615.Finally, GCF of Fractions for 27/15, 62/481, 858/361 is 1/2604615.