Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 568/22,609/481
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 568,609
Greatest Common Factor of Numerators i.e. GCF of 568,609 is 1 .
LCM of Denominators means LCM of 22,481 as per the given fractions.
LCM of 22,481 is 10582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 568,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 568,609 . The biggest common factor number is the GCF number.
So the greatest common factor 568,609 is 1.
Lets's calculate LCM of 22,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 10582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10582
Therefore, the GCF of Fractions 568/22,609/481 is 1/10582
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 22,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,481) x common factors =1 x 1 = 1
LCM(22,481) = ( 22 × 481 ) / 1
LCM(22,481) = 10582 / 1
LCM(22,481) = 10582
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 568/22, 609/481?
Answer: GCF of Numerators as per given numbers 568/22, 609/481 is
GCF of Numerators i.e. for 568,609 is 1
LCM of denominators i.e. for 22,481 is 10582.
Thus, GCF of Fractions is 1/10582.Finally, GCF of Fractions for 568/22, 609/481 is 1/10582.