Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/17,2723/618
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 618,2723
Greatest Common Factor of Numerators i.e. GCF of 618,2723 is 1 .
LCM of Denominators means LCM of 17,618 as per the given fractions.
LCM of 17,618 is 10506 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 618,2723
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 2723
List of positive integer factors of 2723 that divides 2723 without a remainder.
1,7,389,2723
Greatest Common Factor
We found the factors 618,2723 . The biggest common factor number is the GCF number.
So the greatest common factor 618,2723 is 1.
Lets's calculate LCM of 17,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 10506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10506
Therefore, the GCF of Fractions 618/17,2723/618 is 1/10506
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 17,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,618) x common factors =1 x 1 = 1
LCM(17,618) = ( 17 × 618 ) / 1
LCM(17,618) = 10506 / 1
LCM(17,618) = 10506
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 618/17, 2723/618?
Answer: GCF of Numerators as per given numbers 618/17, 2723/618 is
GCF of Numerators i.e. for 618,2723 is 1
LCM of denominators i.e. for 17,618 is 10506.
Thus, GCF of Fractions is 1/10506.Finally, GCF of Fractions for 618/17, 2723/618 is 1/10506.