Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9606/687,2653/9723
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 9606,2653
Greatest Common Factor of Numerators i.e. GCF of 9606,2653 is 1 .
LCM of Denominators means LCM of 687,9723 as per the given fractions.
LCM of 687,9723 is 2226567 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9606,2653
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9606
List of positive integer factors of 9606 that divides 9606 without a remainder.
1,2,3,6,1601,3202,4803,9606
Factors of 2653
List of positive integer factors of 2653 that divides 2653 without a remainder.
1,7,379,2653
Greatest Common Factor
We found the factors 9606,2653 . The biggest common factor number is the GCF number.
So the greatest common factor 9606,2653 is 1.
Lets's calculate LCM of 687,9723
3 | 687, 9723 |
229, 3241 |
∴ So the LCM of the given numbers is 3 x 229 x 3241 = 2226567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2226567
Therefore, the GCF of Fractions 9606/687,2653/9723 is 1/2226567
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 687,9723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,9723) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,9723) x common factors =3 x 1 = 3
LCM(687,9723) = ( 687 × 9723 ) / 3
LCM(687,9723) = 6679701 / 3
LCM(687,9723) = 2226567
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 9606/687, 2653/9723?
Answer: GCF of Numerators as per given numbers 9606/687, 2653/9723 is
GCF of Numerators i.e. for 9606,2653 is 1
LCM of denominators i.e. for 687,9723 is 2226567.
Thus, GCF of Fractions is 1/2226567.Finally, GCF of Fractions for 9606/687, 2653/9723 is 1/2226567.