Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2413/62,3305/906
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 2413,3305
Greatest Common Factor of Numerators i.e. GCF of 2413,3305 is 1 .
LCM of Denominators means LCM of 62,906 as per the given fractions.
LCM of 62,906 is 28086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2413,3305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2413
List of positive integer factors of 2413 that divides 2413 without a remainder.
1,19,127,2413
Factors of 3305
List of positive integer factors of 3305 that divides 3305 without a remainder.
1,5,661,3305
Greatest Common Factor
We found the factors 2413,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 2413,3305 is 1.
Lets's calculate LCM of 62,906
2 | 62, 906 |
31, 453 |
∴ So the LCM of the given numbers is 2 x 31 x 453 = 28086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28086
Therefore, the GCF of Fractions 2413/62,3305/906 is 1/28086
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 62,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,906) x common factors =2 x 1 = 2
LCM(62,906) = ( 62 × 906 ) / 2
LCM(62,906) = 56172 / 2
LCM(62,906) = 28086
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 2413/62, 3305/906?
Answer: GCF of Numerators as per given numbers 2413/62, 3305/906 is
GCF of Numerators i.e. for 2413,3305 is 1
LCM of denominators i.e. for 62,906 is 28086.
Thus, GCF of Fractions is 1/28086.Finally, GCF of Fractions for 2413/62, 3305/906 is 1/28086.