Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 36/51,744/10,575/589
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 36,744,575
Greatest Common Factor of Numerators i.e. GCF of 36,744,575 is 1 .
LCM of Denominators means LCM of 51,10,589 as per the given fractions.
LCM of 51,10,589 is 300390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 36,744,575
∴ 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 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 36,744,575 . The biggest common factor number is the GCF number.
So the greatest common factor 36,744,575 is 1.
Lets's calculate LCM of 51,10,589
Given numbers has no common factors except 1. So, there LCM is their product i.e 300390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300390
Therefore, the GCF of Fractions 36/51,744/10,575/589 is 1/300390
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 51,10,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,10,589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,10,589) x common factors =1 x 1 = 1
LCM(51,10,589) = ( 51 × 10 × 589 ) / 1
LCM(51,10,589) = 300390 / 1
LCM(51,10,589) = 300390
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 36/51, 744/10, 575/589?
Answer: GCF of Numerators as per given numbers 36/51, 744/10, 575/589 is
GCF of Numerators i.e. for 36,744,575 is 1
LCM of denominators i.e. for 51,10,589 is 300390.
Thus, GCF of Fractions is 1/300390.Finally, GCF of Fractions for 36/51, 744/10, 575/589 is 1/300390.