Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 329/305,3849/320
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 329,3849
Greatest Common Factor of Numerators i.e. GCF of 329,3849 is 1 .
LCM of Denominators means LCM of 305,320 as per the given fractions.
LCM of 305,320 is 19520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 329,3849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 3849
List of positive integer factors of 3849 that divides 3849 without a remainder.
1,3,1283,3849
Greatest Common Factor
We found the factors 329,3849 . The biggest common factor number is the GCF number.
So the greatest common factor 329,3849 is 1.
Lets's calculate LCM of 305,320
5 | 305, 320 |
61, 64 |
∴ So the LCM of the given numbers is 5 x 61 x 64 = 19520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19520
Therefore, the GCF of Fractions 329/305,3849/320 is 1/19520
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 305,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,320) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,320) x common factors =5 x 1 = 5
LCM(305,320) = ( 305 × 320 ) / 5
LCM(305,320) = 97600 / 5
LCM(305,320) = 19520
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 329/305, 3849/320?
Answer: GCF of Numerators as per given numbers 329/305, 3849/320 is
GCF of Numerators i.e. for 329,3849 is 1
LCM of denominators i.e. for 305,320 is 19520.
Thus, GCF of Fractions is 1/19520.Finally, GCF of Fractions for 329/305, 3849/320 is 1/19520.