Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 678/396,8393/406
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 678,8393
Greatest Common Factor of Numerators i.e. GCF of 678,8393 is 1 .
LCM of Denominators means LCM of 396,406 as per the given fractions.
LCM of 396,406 is 80388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 678,8393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 8393
List of positive integer factors of 8393 that divides 8393 without a remainder.
1,7,11,77,109,763,1199,8393
Greatest Common Factor
We found the factors 678,8393 . The biggest common factor number is the GCF number.
So the greatest common factor 678,8393 is 1.
Lets's calculate LCM of 396,406
2 | 396, 406 |
198, 203 |
∴ So the LCM of the given numbers is 2 x 198 x 203 = 80388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80388
Therefore, the GCF of Fractions 678/396,8393/406 is 1/80388
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 396,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(396,406) x common factors =2 x 1 = 2
LCM(396,406) = ( 396 × 406 ) / 2
LCM(396,406) = 160776 / 2
LCM(396,406) = 80388
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 678/396, 8393/406?
Answer: GCF of Numerators as per given numbers 678/396, 8393/406 is
GCF of Numerators i.e. for 678,8393 is 1
LCM of denominators i.e. for 396,406 is 80388.
Thus, GCF of Fractions is 1/80388.Finally, GCF of Fractions for 678/396, 8393/406 is 1/80388.