Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/384,8684/243
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 997,8684
Greatest Common Factor of Numerators i.e. GCF of 997,8684 is 1 .
LCM of Denominators means LCM of 384,243 as per the given fractions.
LCM of 384,243 is 31104 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,8684
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 8684
List of positive integer factors of 8684 that divides 8684 without a remainder.
1,2,4,13,26,52,167,334,668,2171,4342,8684
Greatest Common Factor
We found the factors 997,8684 . The biggest common factor number is the GCF number.
So the greatest common factor 997,8684 is 1.
Lets's calculate LCM of 384,243
3 | 384, 243 |
128, 81 |
∴ So the LCM of the given numbers is 3 x 128 x 81 = 31104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31104
Therefore, the GCF of Fractions 997/384,8684/243 is 1/31104
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 384,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,243) x common factors =3 x 1 = 3
LCM(384,243) = ( 384 × 243 ) / 3
LCM(384,243) = 93312 / 3
LCM(384,243) = 31104
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 997/384, 8684/243?
Answer: GCF of Numerators as per given numbers 997/384, 8684/243 is
GCF of Numerators i.e. for 997,8684 is 1
LCM of denominators i.e. for 384,243 is 31104.
Thus, GCF of Fractions is 1/31104.Finally, GCF of Fractions for 997/384, 8684/243 is 1/31104.