Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/13,531/1243
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 309,531
Greatest Common Factor of Numerators i.e. GCF of 309,531 is 3 .
LCM of Denominators means LCM of 13,1243 as per the given fractions.
LCM of 13,1243 is 16159 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 309,531
3 | 309, 531 |
103, 177 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Greatest Common Factor
We found the factors 309,531 . The biggest common factor number is the GCF number.
So the greatest common factor 309,531 is 3.
Lets's calculate LCM of 13,1243
Given numbers has no common factors except 1. So, there LCM is their product i.e 16159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16159
Therefore, the GCF of Fractions 309/13,531/1243 is 3/16159
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 13,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,1243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,1243) x common factors =1 x 1 = 1
LCM(13,1243) = ( 13 × 1243 ) / 1
LCM(13,1243) = 16159 / 1
LCM(13,1243) = 16159
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 309/13, 531/1243?
Answer: GCF of Numerators as per given numbers 309/13, 531/1243 is
GCF of Numerators i.e. for 309,531 is 3
LCM of denominators i.e. for 13,1243 is 16159.
Thus, GCF of Fractions is 3/16159.Finally, GCF of Fractions for 309/13, 531/1243 is 3/16159.