Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5330/52,5609/283
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 5330,5609
Greatest Common Factor of Numerators i.e. GCF of 5330,5609 is 1 .
LCM of Denominators means LCM of 52,283 as per the given fractions.
LCM of 52,283 is 14716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5330,5609
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Factors of 5609
List of positive integer factors of 5609 that divides 5609 without a remainder.
1,71,79,5609
Greatest Common Factor
We found the factors 5330,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,5609 is 1.
Lets's calculate LCM of 52,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 14716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14716
Therefore, the GCF of Fractions 5330/52,5609/283 is 1/14716
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 52,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,283) x common factors =1 x 1 = 1
LCM(52,283) = ( 52 × 283 ) / 1
LCM(52,283) = 14716 / 1
LCM(52,283) = 14716
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 5330/52, 5609/283?
Answer: GCF of Numerators as per given numbers 5330/52, 5609/283 is
GCF of Numerators i.e. for 5330,5609 is 1
LCM of denominators i.e. for 52,283 is 14716.
Thus, GCF of Fractions is 1/14716.Finally, GCF of Fractions for 5330/52, 5609/283 is 1/14716.