Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/299,43/339,474/715
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 36,43,474
Greatest Common Factor of Numerators i.e. GCF of 36,43,474 is 1 .
LCM of Denominators means LCM of 299,339,715 as per the given fractions.
LCM of 299,339,715 is 5574855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,43,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 36,43,474 . The biggest common factor number is the GCF number.
So the greatest common factor 36,43,474 is 1.
Lets's calculate LCM of 299,339,715
13 | 299, 339, 715 |
23, 339, 55 |
∴ So the LCM of the given numbers is 13 x 23 x 339 x 55 = 5574855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5574855
Therefore, the GCF of Fractions 36/299,43/339,474/715 is 1/5574855
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 299,339,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,339,715) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(299,339,715) x common factors =1 x 13 = 13
LCM(299,339,715) = ( 299 × 339 × 715 ) / 13
LCM(299,339,715) = 72473115 / 13
LCM(299,339,715) = 5574855
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 36/299, 43/339, 474/715?
Answer: GCF of Numerators as per given numbers 36/299, 43/339, 474/715 is
GCF of Numerators i.e. for 36,43,474 is 1
LCM of denominators i.e. for 299,339,715 is 5574855.
Thus, GCF of Fractions is 1/5574855.Finally, GCF of Fractions for 36/299, 43/339, 474/715 is 1/5574855.