Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 694/13,504/91,819/422
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 694,504,819
Greatest Common Factor of Numerators i.e. GCF of 694,504,819 is 1 .
LCM of Denominators means LCM of 13,91,422 as per the given fractions.
LCM of 13,91,422 is 38402 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 694,504,819
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Greatest Common Factor
We found the factors 694,504,819 . The biggest common factor number is the GCF number.
So the greatest common factor 694,504,819 is 1.
Lets's calculate LCM of 13,91,422
13 | 13, 91, 422 |
1, 7, 422 |
∴ So the LCM of the given numbers is 13 x 1 x 7 x 422 = 38402
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38402
Therefore, the GCF of Fractions 694/13,504/91,819/422 is 1/38402
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 13,91,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,91,422) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,91,422) x common factors =1 x 13 = 13
LCM(13,91,422) = ( 13 × 91 × 422 ) / 13
LCM(13,91,422) = 499226 / 13
LCM(13,91,422) = 38402
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 694/13, 504/91, 819/422?
Answer: GCF of Numerators as per given numbers 694/13, 504/91, 819/422 is
GCF of Numerators i.e. for 694,504,819 is 1
LCM of denominators i.e. for 13,91,422 is 38402.
Thus, GCF of Fractions is 1/38402.Finally, GCF of Fractions for 694/13, 504/91, 819/422 is 1/38402.