Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9073/631,4793/809
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 9073,4793
Greatest Common Factor of Numerators i.e. GCF of 9073,4793 is 1 .
LCM of Denominators means LCM of 631,809 as per the given fractions.
LCM of 631,809 is 510479 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9073,4793
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9073
List of positive integer factors of 9073 that divides 9073 without a remainder.
1,43,211,9073
Factors of 4793
List of positive integer factors of 4793 that divides 4793 without a remainder.
1,4793
Greatest Common Factor
We found the factors 9073,4793 . The biggest common factor number is the GCF number.
So the greatest common factor 9073,4793 is 1.
Lets's calculate LCM of 631,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 510479
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/510479
Therefore, the GCF of Fractions 9073/631,4793/809 is 1/510479
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 631,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,809) x common factors =1 x 1 = 1
LCM(631,809) = ( 631 × 809 ) / 1
LCM(631,809) = 510479 / 1
LCM(631,809) = 510479
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 9073/631, 4793/809?
Answer: GCF of Numerators as per given numbers 9073/631, 4793/809 is
GCF of Numerators i.e. for 9073,4793 is 1
LCM of denominators i.e. for 631,809 is 510479.
Thus, GCF of Fractions is 1/510479.Finally, GCF of Fractions for 9073/631, 4793/809 is 1/510479.