Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4833/368,3994/4457
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 4833,3994
Greatest Common Factor of Numerators i.e. GCF of 4833,3994 is 1 .
LCM of Denominators means LCM of 368,4457 as per the given fractions.
LCM of 368,4457 is 1640176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4833,3994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4833
List of positive integer factors of 4833 that divides 4833 without a remainder.
1,3,9,27,179,537,1611,4833
Factors of 3994
List of positive integer factors of 3994 that divides 3994 without a remainder.
1,2,1997,3994
Greatest Common Factor
We found the factors 4833,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 4833,3994 is 1.
Lets's calculate LCM of 368,4457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1640176
Therefore, the GCF of Fractions 4833/368,3994/4457 is 1/1640176
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 368,4457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,4457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,4457) x common factors =1 x 1 = 1
LCM(368,4457) = ( 368 × 4457 ) / 1
LCM(368,4457) = 1640176 / 1
LCM(368,4457) = 1640176
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 4833/368, 3994/4457?
Answer: GCF of Numerators as per given numbers 4833/368, 3994/4457 is
GCF of Numerators i.e. for 4833,3994 is 1
LCM of denominators i.e. for 368,4457 is 1640176.
Thus, GCF of Fractions is 1/1640176.Finally, GCF of Fractions for 4833/368, 3994/4457 is 1/1640176.