Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/988,442/313
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 13,442
Greatest Common Factor of Numerators i.e. GCF of 13,442 is 13 .
LCM of Denominators means LCM of 988,313 as per the given fractions.
LCM of 988,313 is 309244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,442
13 | 13, 442 |
1, 34 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Greatest Common Factor
We found the factors 13,442 . The biggest common factor number is the GCF number.
So the greatest common factor 13,442 is 13.
Lets's calculate LCM of 988,313
Given numbers has no common factors except 1. So, there LCM is their product i.e 309244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/309244
Therefore, the GCF of Fractions 13/988,442/313 is 13/309244
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 988,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(988,313) x common factors =1 x 1 = 1
LCM(988,313) = ( 988 × 313 ) / 1
LCM(988,313) = 309244 / 1
LCM(988,313) = 309244
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 13/988, 442/313?
Answer: GCF of Numerators as per given numbers 13/988, 442/313 is
GCF of Numerators i.e. for 13,442 is 13
LCM of denominators i.e. for 988,313 is 309244.
Thus, GCF of Fractions is 13/309244.Finally, GCF of Fractions for 13/988, 442/313 is 13/309244.