Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 729/57,479/11,452/73
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 729,479,452
Greatest Common Factor of Numerators i.e. GCF of 729,479,452 is 1 .
LCM of Denominators means LCM of 57,11,73 as per the given fractions.
LCM of 57,11,73 is 45771 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 729,479,452
∴ So GCF of numbers is 1 because of no common factors present between them.
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 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 729,479,452 . The biggest common factor number is the GCF number.
So the greatest common factor 729,479,452 is 1.
Lets's calculate LCM of 57,11,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 45771
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45771
Therefore, the GCF of Fractions 729/57,479/11,452/73 is 1/45771
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 57,11,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,11,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,11,73) x common factors =1 x 1 = 1
LCM(57,11,73) = ( 57 × 11 × 73 ) / 1
LCM(57,11,73) = 45771 / 1
LCM(57,11,73) = 45771
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 729/57, 479/11, 452/73?
Answer: GCF of Numerators as per given numbers 729/57, 479/11, 452/73 is
GCF of Numerators i.e. for 729,479,452 is 1
LCM of denominators i.e. for 57,11,73 is 45771.
Thus, GCF of Fractions is 1/45771.Finally, GCF of Fractions for 729/57, 479/11, 452/73 is 1/45771.