Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/42,16/858,313/462
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 81,16,313
Greatest Common Factor of Numerators i.e. GCF of 81,16,313 is 1 .
LCM of Denominators means LCM of 42,858,462 as per the given fractions.
LCM of 42,858,462 is 6006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,16,313
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Greatest Common Factor
We found the factors 81,16,313 . The biggest common factor number is the GCF number.
So the greatest common factor 81,16,313 is 1.
Lets's calculate LCM of 42,858,462
2 | 42, 858, 462 |
3 | 21, 429, 231 |
7 | 7, 143, 77 |
11 | 1, 143, 11 |
1, 13, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 1 x 13 x 1 = 6006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6006
Therefore, the GCF of Fractions 81/42,16/858,313/462 is 1/6006
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 42,858,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,858,462) = 6
common factors(in case of two or more numbers have common factors) = 462
GCF(42,858,462) x common factors =6 x 462 = 2772
LCM(42,858,462) = ( 42 × 858 × 462 ) / 2772
LCM(42,858,462) = 16648632 / 2772
LCM(42,858,462) = 6006
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 81/42, 16/858, 313/462?
Answer: GCF of Numerators as per given numbers 81/42, 16/858, 313/462 is
GCF of Numerators i.e. for 81,16,313 is 1
LCM of denominators i.e. for 42,858,462 is 6006.
Thus, GCF of Fractions is 1/6006.Finally, GCF of Fractions for 81/42, 16/858, 313/462 is 1/6006.