Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 342/90,588/95,105/867
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 342,588,105
Greatest Common Factor of Numerators i.e. GCF of 342,588,105 is 3 .
LCM of Denominators means LCM of 90,95,867 as per the given fractions.
LCM of 90,95,867 is 494190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 342,588,105
3 | 342, 588, 105 |
114, 196, 35 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 342,588,105 . The biggest common factor number is the GCF number.
So the greatest common factor 342,588,105 is 3.
Lets's calculate LCM of 90,95,867
3 | 90, 95, 867 |
5 | 30, 95, 289 |
6, 19, 289 |
∴ So the LCM of the given numbers is 3 x 5 x 6 x 19 x 289 = 494190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/494190
Therefore, the GCF of Fractions 342/90,588/95,105/867 is 3/494190
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 90,95,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,95,867) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(90,95,867) x common factors =1 x 15 = 15
LCM(90,95,867) = ( 90 × 95 × 867 ) / 15
LCM(90,95,867) = 7412850 / 15
LCM(90,95,867) = 494190
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 342/90, 588/95, 105/867?
Answer: GCF of Numerators as per given numbers 342/90, 588/95, 105/867 is
GCF of Numerators i.e. for 342,588,105 is 3
LCM of denominators i.e. for 90,95,867 is 494190.
Thus, GCF of Fractions is 3/494190.Finally, GCF of Fractions for 342/90, 588/95, 105/867 is 3/494190.