Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 559/53,530/28,309/403
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 559,530,309
Greatest Common Factor of Numerators i.e. GCF of 559,530,309 is 1 .
LCM of Denominators means LCM of 53,28,403 as per the given fractions.
LCM of 53,28,403 is 598052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 559,530,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 559,530,309 . The biggest common factor number is the GCF number.
So the greatest common factor 559,530,309 is 1.
Lets's calculate LCM of 53,28,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 598052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/598052
Therefore, the GCF of Fractions 559/53,530/28,309/403 is 1/598052
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 53,28,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,28,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,28,403) x common factors =1 x 1 = 1
LCM(53,28,403) = ( 53 × 28 × 403 ) / 1
LCM(53,28,403) = 598052 / 1
LCM(53,28,403) = 598052
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 559/53, 530/28, 309/403?
Answer: GCF of Numerators as per given numbers 559/53, 530/28, 309/403 is
GCF of Numerators i.e. for 559,530,309 is 1
LCM of denominators i.e. for 53,28,403 is 598052.
Thus, GCF of Fractions is 1/598052.Finally, GCF of Fractions for 559/53, 530/28, 309/403 is 1/598052.