Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/39,344/57,669/329
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 40,344,669
Greatest Common Factor of Numerators i.e. GCF of 40,344,669 is 1 .
LCM of Denominators means LCM of 39,57,329 as per the given fractions.
LCM of 39,57,329 is 243789 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,344,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Greatest Common Factor
We found the factors 40,344,669 . The biggest common factor number is the GCF number.
So the greatest common factor 40,344,669 is 1.
Lets's calculate LCM of 39,57,329
3 | 39, 57, 329 |
13, 19, 329 |
∴ So the LCM of the given numbers is 3 x 13 x 19 x 329 = 243789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243789
Therefore, the GCF of Fractions 40/39,344/57,669/329 is 1/243789
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 39,57,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,57,329) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,57,329) x common factors =1 x 3 = 3
LCM(39,57,329) = ( 39 × 57 × 329 ) / 3
LCM(39,57,329) = 731367 / 3
LCM(39,57,329) = 243789
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 40/39, 344/57, 669/329?
Answer: GCF of Numerators as per given numbers 40/39, 344/57, 669/329 is
GCF of Numerators i.e. for 40,344,669 is 1
LCM of denominators i.e. for 39,57,329 is 243789.
Thus, GCF of Fractions is 1/243789.Finally, GCF of Fractions for 40/39, 344/57, 669/329 is 1/243789.