Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/22,286/6899
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 793,286
Greatest Common Factor of Numerators i.e. GCF of 793,286 is 13 .
LCM of Denominators means LCM of 22,6899 as per the given fractions.
LCM of 22,6899 is 151778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 793,286
13 | 793, 286 |
61, 22 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 793,286 . The biggest common factor number is the GCF number.
So the greatest common factor 793,286 is 13.
Lets's calculate LCM of 22,6899
Given numbers has no common factors except 1. So, there LCM is their product i.e 151778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/151778
Therefore, the GCF of Fractions 793/22,286/6899 is 13/151778
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 22,6899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,6899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,6899) x common factors =1 x 1 = 1
LCM(22,6899) = ( 22 × 6899 ) / 1
LCM(22,6899) = 151778 / 1
LCM(22,6899) = 151778
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 793/22, 286/6899?
Answer: GCF of Numerators as per given numbers 793/22, 286/6899 is
GCF of Numerators i.e. for 793,286 is 13
LCM of denominators i.e. for 22,6899 is 151778.
Thus, GCF of Fractions is 13/151778.Finally, GCF of Fractions for 793/22, 286/6899 is 13/151778.