Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3872/605,4649/491
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 3872,4649
Greatest Common Factor of Numerators i.e. GCF of 3872,4649 is 1 .
LCM of Denominators means LCM of 605,491 as per the given fractions.
LCM of 605,491 is 297055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3872,4649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3872
List of positive integer factors of 3872 that divides 3872 without a remainder.
1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Factors of 4649
List of positive integer factors of 4649 that divides 4649 without a remainder.
1,4649
Greatest Common Factor
We found the factors 3872,4649 . The biggest common factor number is the GCF number.
So the greatest common factor 3872,4649 is 1.
Lets's calculate LCM of 605,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 297055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297055
Therefore, the GCF of Fractions 3872/605,4649/491 is 1/297055
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 605,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,491) x common factors =1 x 1 = 1
LCM(605,491) = ( 605 × 491 ) / 1
LCM(605,491) = 297055 / 1
LCM(605,491) = 297055
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 3872/605, 4649/491?
Answer: GCF of Numerators as per given numbers 3872/605, 4649/491 is
GCF of Numerators i.e. for 3872,4649 is 1
LCM of denominators i.e. for 605,491 is 297055.
Thus, GCF of Fractions is 1/297055.Finally, GCF of Fractions for 3872/605, 4649/491 is 1/297055.