Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6806/244,3165/454
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 6806,3165
Greatest Common Factor of Numerators i.e. GCF of 6806,3165 is 1 .
LCM of Denominators means LCM of 244,454 as per the given fractions.
LCM of 244,454 is 55388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6806,3165
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6806
List of positive integer factors of 6806 that divides 6806 without a remainder.
1,2,41,82,83,166,3403,6806
Factors of 3165
List of positive integer factors of 3165 that divides 3165 without a remainder.
1,3,5,15,211,633,1055,3165
Greatest Common Factor
We found the factors 6806,3165 . The biggest common factor number is the GCF number.
So the greatest common factor 6806,3165 is 1.
Lets's calculate LCM of 244,454
2 | 244, 454 |
122, 227 |
∴ So the LCM of the given numbers is 2 x 122 x 227 = 55388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55388
Therefore, the GCF of Fractions 6806/244,3165/454 is 1/55388
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 244,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(244,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(244,454) x common factors =2 x 1 = 2
LCM(244,454) = ( 244 × 454 ) / 2
LCM(244,454) = 110776 / 2
LCM(244,454) = 55388
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 6806/244, 3165/454?
Answer: GCF of Numerators as per given numbers 6806/244, 3165/454 is
GCF of Numerators i.e. for 6806,3165 is 1
LCM of denominators i.e. for 244,454 is 55388.
Thus, GCF of Fractions is 1/55388.Finally, GCF of Fractions for 6806/244, 3165/454 is 1/55388.