Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 799/793,1394/4474
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 799,1394
Greatest Common Factor of Numerators i.e. GCF of 799,1394 is 17 .
LCM of Denominators means LCM of 793,4474 as per the given fractions.
LCM of 793,4474 is 3547882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 799,1394
17 | 799, 1394 |
47, 82 |
∴ So the GCF of the given numbers is 17 = 17
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 1394
List of positive integer factors of 1394 that divides 1394 without a remainder.
1,2,17,34,41,82,697,1394
Greatest Common Factor
We found the factors 799,1394 . The biggest common factor number is the GCF number.
So the greatest common factor 799,1394 is 17.
Lets's calculate LCM of 793,4474
Given numbers has no common factors except 1. So, there LCM is their product i.e 3547882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3547882
Therefore, the GCF of Fractions 799/793,1394/4474 is 17/3547882
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 793,4474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,4474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(793,4474) x common factors =1 x 1 = 1
LCM(793,4474) = ( 793 × 4474 ) / 1
LCM(793,4474) = 3547882 / 1
LCM(793,4474) = 3547882
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 799/793, 1394/4474?
Answer: GCF of Numerators as per given numbers 799/793, 1394/4474 is
GCF of Numerators i.e. for 799,1394 is 17
LCM of denominators i.e. for 793,4474 is 3547882.
Thus, GCF of Fractions is 17/3547882.Finally, GCF of Fractions for 799/793, 1394/4474 is 17/3547882.