Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/28,40/37,593/989
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 80,40,593
Greatest Common Factor of Numerators i.e. GCF of 80,40,593 is 1 .
LCM of Denominators means LCM of 28,37,989 as per the given fractions.
LCM of 28,37,989 is 1024604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,40,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 80,40,593 . The biggest common factor number is the GCF number.
So the greatest common factor 80,40,593 is 1.
Lets's calculate LCM of 28,37,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 1024604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1024604
Therefore, the GCF of Fractions 80/28,40/37,593/989 is 1/1024604
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 28,37,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,37,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,37,989) x common factors =1 x 1 = 1
LCM(28,37,989) = ( 28 × 37 × 989 ) / 1
LCM(28,37,989) = 1024604 / 1
LCM(28,37,989) = 1024604
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 80/28, 40/37, 593/989?
Answer: GCF of Numerators as per given numbers 80/28, 40/37, 593/989 is
GCF of Numerators i.e. for 80,40,593 is 1
LCM of denominators i.e. for 28,37,989 is 1024604.
Thus, GCF of Fractions is 1/1024604.Finally, GCF of Fractions for 80/28, 40/37, 593/989 is 1/1024604.