Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2815/95,9407/809
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 2815,9407
Greatest Common Factor of Numerators i.e. GCF of 2815,9407 is 1 .
LCM of Denominators means LCM of 95,809 as per the given fractions.
LCM of 95,809 is 76855 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2815,9407
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2815
List of positive integer factors of 2815 that divides 2815 without a remainder.
1,5,563,2815
Factors of 9407
List of positive integer factors of 9407 that divides 9407 without a remainder.
1,23,409,9407
Greatest Common Factor
We found the factors 2815,9407 . The biggest common factor number is the GCF number.
So the greatest common factor 2815,9407 is 1.
Lets's calculate LCM of 95,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 76855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76855
Therefore, the GCF of Fractions 2815/95,9407/809 is 1/76855
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 95,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,809) x common factors =1 x 1 = 1
LCM(95,809) = ( 95 × 809 ) / 1
LCM(95,809) = 76855 / 1
LCM(95,809) = 76855
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 2815/95, 9407/809?
Answer: GCF of Numerators as per given numbers 2815/95, 9407/809 is
GCF of Numerators i.e. for 2815,9407 is 1
LCM of denominators i.e. for 95,809 is 76855.
Thus, GCF of Fractions is 1/76855.Finally, GCF of Fractions for 2815/95, 9407/809 is 1/76855.