Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6246/411,4163/243
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 6246,4163
Greatest Common Factor of Numerators i.e. GCF of 6246,4163 is 1 .
LCM of Denominators means LCM of 411,243 as per the given fractions.
LCM of 411,243 is 33291 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6246,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6246
List of positive integer factors of 6246 that divides 6246 without a remainder.
1,2,3,6,9,18,347,694,1041,2082,3123,6246
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1,23,181,4163
Greatest Common Factor
We found the factors 6246,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 6246,4163 is 1.
Lets's calculate LCM of 411,243
3 | 411, 243 |
137, 81 |
∴ So the LCM of the given numbers is 3 x 137 x 81 = 33291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33291
Therefore, the GCF of Fractions 6246/411,4163/243 is 1/33291
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 411,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(411,243) x common factors =3 x 1 = 3
LCM(411,243) = ( 411 × 243 ) / 3
LCM(411,243) = 99873 / 3
LCM(411,243) = 33291
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 6246/411, 4163/243?
Answer: GCF of Numerators as per given numbers 6246/411, 4163/243 is
GCF of Numerators i.e. for 6246,4163 is 1
LCM of denominators i.e. for 411,243 is 33291.
Thus, GCF of Fractions is 1/33291.Finally, GCF of Fractions for 6246/411, 4163/243 is 1/33291.