Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 322/66,191/30,233/599
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 322,191,233
Greatest Common Factor of Numerators i.e. GCF of 322,191,233 is 1 .
LCM of Denominators means LCM of 66,30,599 as per the given fractions.
LCM of 66,30,599 is 197670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 322,191,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 322,191,233 . The biggest common factor number is the GCF number.
So the greatest common factor 322,191,233 is 1.
Lets's calculate LCM of 66,30,599
2 | 66, 30, 599 |
3 | 33, 15, 599 |
11, 5, 599 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 599 = 197670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197670
Therefore, the GCF of Fractions 322/66,191/30,233/599 is 1/197670
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 66,30,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,30,599) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,30,599) x common factors =1 x 6 = 6
LCM(66,30,599) = ( 66 × 30 × 599 ) / 6
LCM(66,30,599) = 1186020 / 6
LCM(66,30,599) = 197670
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 322/66, 191/30, 233/599?
Answer: GCF of Numerators as per given numbers 322/66, 191/30, 233/599 is
GCF of Numerators i.e. for 322,191,233 is 1
LCM of denominators i.e. for 66,30,599 is 197670.
Thus, GCF of Fractions is 1/197670.Finally, GCF of Fractions for 322/66, 191/30, 233/599 is 1/197670.