Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 589/67,744/85,150/426
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 589,744,150
Greatest Common Factor of Numerators i.e. GCF of 589,744,150 is 1 .
LCM of Denominators means LCM of 67,85,426 as per the given fractions.
LCM of 67,85,426 is 2426070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 589,744,150
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
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 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 589,744,150 . The biggest common factor number is the GCF number.
So the greatest common factor 589,744,150 is 1.
Lets's calculate LCM of 67,85,426
Given numbers has no common factors except 1. So, there LCM is their product i.e 2426070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2426070
Therefore, the GCF of Fractions 589/67,744/85,150/426 is 1/2426070
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 67,85,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,85,426) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,85,426) x common factors =1 x 1 = 1
LCM(67,85,426) = ( 67 × 85 × 426 ) / 1
LCM(67,85,426) = 2426070 / 1
LCM(67,85,426) = 2426070
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 589/67, 744/85, 150/426?
Answer: GCF of Numerators as per given numbers 589/67, 744/85, 150/426 is
GCF of Numerators i.e. for 589,744,150 is 1
LCM of denominators i.e. for 67,85,426 is 2426070.
Thus, GCF of Fractions is 1/2426070.Finally, GCF of Fractions for 589/67, 744/85, 150/426 is 1/2426070.