Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/86,482/43,189/845
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 96,482,189
Greatest Common Factor of Numerators i.e. GCF of 96,482,189 is 1 .
LCM of Denominators means LCM of 86,43,845 as per the given fractions.
LCM of 86,43,845 is 72670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,482,189
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 96,482,189 . The biggest common factor number is the GCF number.
So the greatest common factor 96,482,189 is 1.
Lets's calculate LCM of 86,43,845
43 | 86, 43, 845 |
2, 1, 845 |
∴ So the LCM of the given numbers is 43 x 2 x 1 x 845 = 72670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72670
Therefore, the GCF of Fractions 96/86,482/43,189/845 is 1/72670
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 86,43,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,43,845) = 1
common factors(in case of two or more numbers have common factors) = 43
GCF(86,43,845) x common factors =1 x 43 = 43
LCM(86,43,845) = ( 86 × 43 × 845 ) / 43
LCM(86,43,845) = 3124810 / 43
LCM(86,43,845) = 72670
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 96/86, 482/43, 189/845?
Answer: GCF of Numerators as per given numbers 96/86, 482/43, 189/845 is
GCF of Numerators i.e. for 96,482,189 is 1
LCM of denominators i.e. for 86,43,845 is 72670.
Thus, GCF of Fractions is 1/72670.Finally, GCF of Fractions for 96/86, 482/43, 189/845 is 1/72670.