Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 797/315,1887/598
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 797,1887
Greatest Common Factor of Numerators i.e. GCF of 797,1887 is 1 .
LCM of Denominators means LCM of 315,598 as per the given fractions.
LCM of 315,598 is 188370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 797,1887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Factors of 1887
List of positive integer factors of 1887 that divides 1887 without a remainder.
1,3,17,37,51,111,629,1887
Greatest Common Factor
We found the factors 797,1887 . The biggest common factor number is the GCF number.
So the greatest common factor 797,1887 is 1.
Lets's calculate LCM of 315,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 188370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188370
Therefore, the GCF of Fractions 797/315,1887/598 is 1/188370
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 315,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,598) x common factors =1 x 1 = 1
LCM(315,598) = ( 315 × 598 ) / 1
LCM(315,598) = 188370 / 1
LCM(315,598) = 188370
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 797/315, 1887/598?
Answer: GCF of Numerators as per given numbers 797/315, 1887/598 is
GCF of Numerators i.e. for 797,1887 is 1
LCM of denominators i.e. for 315,598 is 188370.
Thus, GCF of Fractions is 1/188370.Finally, GCF of Fractions for 797/315, 1887/598 is 1/188370.