Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6442/389,5948/243
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 6442,5948
Greatest Common Factor of Numerators i.e. GCF of 6442,5948 is 2 .
LCM of Denominators means LCM of 389,243 as per the given fractions.
LCM of 389,243 is 94527 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6442,5948
2 | 6442, 5948 |
3221, 2974 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6442
List of positive integer factors of 6442 that divides 6442 without a remainder.
1,2,3221,6442
Factors of 5948
List of positive integer factors of 5948 that divides 5948 without a remainder.
1,2,4,1487,2974,5948
Greatest Common Factor
We found the factors 6442,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 6442,5948 is 2.
Lets's calculate LCM of 389,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 94527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/94527
Therefore, the GCF of Fractions 6442/389,5948/243 is 2/94527
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 389,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,243) x common factors =1 x 1 = 1
LCM(389,243) = ( 389 × 243 ) / 1
LCM(389,243) = 94527 / 1
LCM(389,243) = 94527
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 6442/389, 5948/243?
Answer: GCF of Numerators as per given numbers 6442/389, 5948/243 is
GCF of Numerators i.e. for 6442,5948 is 2
LCM of denominators i.e. for 389,243 is 94527.
Thus, GCF of Fractions is 2/94527.Finally, GCF of Fractions for 6442/389, 5948/243 is 2/94527.