Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2689/423,8830/8792
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 2689,8830
Greatest Common Factor of Numerators i.e. GCF of 2689,8830 is 1 .
LCM of Denominators means LCM of 423,8792 as per the given fractions.
LCM of 423,8792 is 3719016 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2689,8830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2689
List of positive integer factors of 2689 that divides 2689 without a remainder.
1,2689
Factors of 8830
List of positive integer factors of 8830 that divides 8830 without a remainder.
1,2,5,10,883,1766,4415,8830
Greatest Common Factor
We found the factors 2689,8830 . The biggest common factor number is the GCF number.
So the greatest common factor 2689,8830 is 1.
Lets's calculate LCM of 423,8792
Given numbers has no common factors except 1. So, there LCM is their product i.e 3719016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3719016
Therefore, the GCF of Fractions 2689/423,8830/8792 is 1/3719016
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 423,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,8792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,8792) x common factors =1 x 1 = 1
LCM(423,8792) = ( 423 × 8792 ) / 1
LCM(423,8792) = 3719016 / 1
LCM(423,8792) = 3719016
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 2689/423, 8830/8792?
Answer: GCF of Numerators as per given numbers 2689/423, 8830/8792 is
GCF of Numerators i.e. for 2689,8830 is 1
LCM of denominators i.e. for 423,8792 is 3719016.
Thus, GCF of Fractions is 1/3719016.Finally, GCF of Fractions for 2689/423, 8830/8792 is 1/3719016.