Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8244/679,1279/2146
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 8244,1279
Greatest Common Factor of Numerators i.e. GCF of 8244,1279 is 1 .
LCM of Denominators means LCM of 679,2146 as per the given fractions.
LCM of 679,2146 is 1457134 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8244,1279
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8244
List of positive integer factors of 8244 that divides 8244 without a remainder.
1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Factors of 1279
List of positive integer factors of 1279 that divides 1279 without a remainder.
1,1279
Greatest Common Factor
We found the factors 8244,1279 . The biggest common factor number is the GCF number.
So the greatest common factor 8244,1279 is 1.
Lets's calculate LCM of 679,2146
Given numbers has no common factors except 1. So, there LCM is their product i.e 1457134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1457134
Therefore, the GCF of Fractions 8244/679,1279/2146 is 1/1457134
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 679,2146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,2146) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,2146) x common factors =1 x 1 = 1
LCM(679,2146) = ( 679 × 2146 ) / 1
LCM(679,2146) = 1457134 / 1
LCM(679,2146) = 1457134
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 8244/679, 1279/2146?
Answer: GCF of Numerators as per given numbers 8244/679, 1279/2146 is
GCF of Numerators i.e. for 8244,1279 is 1
LCM of denominators i.e. for 679,2146 is 1457134.
Thus, GCF of Fractions is 1/1457134.Finally, GCF of Fractions for 8244/679, 1279/2146 is 1/1457134.