Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/50,90/37,366/59
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 83,90,366
Greatest Common Factor of Numerators i.e. GCF of 83,90,366 is 1 .
LCM of Denominators means LCM of 50,37,59 as per the given fractions.
LCM of 50,37,59 is 109150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,90,366
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 83,90,366 . The biggest common factor number is the GCF number.
So the greatest common factor 83,90,366 is 1.
Lets's calculate LCM of 50,37,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 109150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109150
Therefore, the GCF of Fractions 83/50,90/37,366/59 is 1/109150
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 50,37,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,37,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(50,37,59) x common factors =1 x 1 = 1
LCM(50,37,59) = ( 50 × 37 × 59 ) / 1
LCM(50,37,59) = 109150 / 1
LCM(50,37,59) = 109150
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 83/50, 90/37, 366/59?
Answer: GCF of Numerators as per given numbers 83/50, 90/37, 366/59 is
GCF of Numerators i.e. for 83,90,366 is 1
LCM of denominators i.e. for 50,37,59 is 109150.
Thus, GCF of Fractions is 1/109150.Finally, GCF of Fractions for 83/50, 90/37, 366/59 is 1/109150.