Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4933/899,6785/4501
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 4933,6785
Greatest Common Factor of Numerators i.e. GCF of 4933,6785 is 1 .
LCM of Denominators means LCM of 899,4501 as per the given fractions.
LCM of 899,4501 is 4046399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4933,6785
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4933
List of positive integer factors of 4933 that divides 4933 without a remainder.
1,4933
Factors of 6785
List of positive integer factors of 6785 that divides 6785 without a remainder.
1,5,23,59,115,295,1357,6785
Greatest Common Factor
We found the factors 4933,6785 . The biggest common factor number is the GCF number.
So the greatest common factor 4933,6785 is 1.
Lets's calculate LCM of 899,4501
Given numbers has no common factors except 1. So, there LCM is their product i.e 4046399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4046399
Therefore, the GCF of Fractions 4933/899,6785/4501 is 1/4046399
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 899,4501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,4501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,4501) x common factors =1 x 1 = 1
LCM(899,4501) = ( 899 × 4501 ) / 1
LCM(899,4501) = 4046399 / 1
LCM(899,4501) = 4046399
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 4933/899, 6785/4501?
Answer: GCF of Numerators as per given numbers 4933/899, 6785/4501 is
GCF of Numerators i.e. for 4933,6785 is 1
LCM of denominators i.e. for 899,4501 is 4046399.
Thus, GCF of Fractions is 1/4046399.Finally, GCF of Fractions for 4933/899, 6785/4501 is 1/4046399.