Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 493/691,5655/993
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 493,5655
Greatest Common Factor of Numerators i.e. GCF of 493,5655 is 29 .
LCM of Denominators means LCM of 691,993 as per the given fractions.
LCM of 691,993 is 686163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 493,5655
29 | 493, 5655 |
17, 195 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 5655
List of positive integer factors of 5655 that divides 5655 without a remainder.
1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Greatest Common Factor
We found the factors 493,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 493,5655 is 29.
Lets's calculate LCM of 691,993
Given numbers has no common factors except 1. So, there LCM is their product i.e 686163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/686163
Therefore, the GCF of Fractions 493/691,5655/993 is 29/686163
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 691,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,993) x common factors =1 x 1 = 1
LCM(691,993) = ( 691 × 993 ) / 1
LCM(691,993) = 686163 / 1
LCM(691,993) = 686163
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 493/691, 5655/993?
Answer: GCF of Numerators as per given numbers 493/691, 5655/993 is
GCF of Numerators i.e. for 493,5655 is 29
LCM of denominators i.e. for 691,993 is 686163.
Thus, GCF of Fractions is 29/686163.Finally, GCF of Fractions for 493/691, 5655/993 is 29/686163.