Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4647/40,8869/473
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 4647,8869
Greatest Common Factor of Numerators i.e. GCF of 4647,8869 is 1 .
LCM of Denominators means LCM of 40,473 as per the given fractions.
LCM of 40,473 is 18920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4647,8869
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4647
List of positive integer factors of 4647 that divides 4647 without a remainder.
1,3,1549,4647
Factors of 8869
List of positive integer factors of 8869 that divides 8869 without a remainder.
1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 4647,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 4647,8869 is 1.
Lets's calculate LCM of 40,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 18920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18920
Therefore, the GCF of Fractions 4647/40,8869/473 is 1/18920
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 40,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,473) x common factors =1 x 1 = 1
LCM(40,473) = ( 40 × 473 ) / 1
LCM(40,473) = 18920 / 1
LCM(40,473) = 18920
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 4647/40, 8869/473?
Answer: GCF of Numerators as per given numbers 4647/40, 8869/473 is
GCF of Numerators i.e. for 4647,8869 is 1
LCM of denominators i.e. for 40,473 is 18920.
Thus, GCF of Fractions is 1/18920.Finally, GCF of Fractions for 4647/40, 8869/473 is 1/18920.