Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 196/36,589/34,235/46
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 196,589,235
Greatest Common Factor of Numerators i.e. GCF of 196,589,235 is 1 .
LCM of Denominators means LCM of 36,34,46 as per the given fractions.
LCM of 36,34,46 is 14076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 196,589,235
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Greatest Common Factor
We found the factors 196,589,235 . The biggest common factor number is the GCF number.
So the greatest common factor 196,589,235 is 1.
Lets's calculate LCM of 36,34,46
2 | 36, 34, 46 |
18, 17, 23 |
∴ So the LCM of the given numbers is 2 x 18 x 17 x 23 = 14076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14076
Therefore, the GCF of Fractions 196/36,589/34,235/46 is 1/14076
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 36,34,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,34,46) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(36,34,46) x common factors =2 x 2 = 4
LCM(36,34,46) = ( 36 × 34 × 46 ) / 4
LCM(36,34,46) = 56304 / 4
LCM(36,34,46) = 14076
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 196/36, 589/34, 235/46?
Answer: GCF of Numerators as per given numbers 196/36, 589/34, 235/46 is
GCF of Numerators i.e. for 196,589,235 is 1
LCM of denominators i.e. for 36,34,46 is 14076.
Thus, GCF of Fractions is 1/14076.Finally, GCF of Fractions for 196/36, 589/34, 235/46 is 1/14076.