Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 530/447,8797/287
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 530,8797
Greatest Common Factor of Numerators i.e. GCF of 530,8797 is 1 .
LCM of Denominators means LCM of 447,287 as per the given fractions.
LCM of 447,287 is 128289 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 530,8797
∴ So GCF of numbers is 1 because of no common factors present between them.
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 8797
List of positive integer factors of 8797 that divides 8797 without a remainder.
1,19,463,8797
Greatest Common Factor
We found the factors 530,8797 . The biggest common factor number is the GCF number.
So the greatest common factor 530,8797 is 1.
Lets's calculate LCM of 447,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 128289
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128289
Therefore, the GCF of Fractions 530/447,8797/287 is 1/128289
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 447,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(447,287) x common factors =1 x 1 = 1
LCM(447,287) = ( 447 × 287 ) / 1
LCM(447,287) = 128289 / 1
LCM(447,287) = 128289
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 530/447, 8797/287?
Answer: GCF of Numerators as per given numbers 530/447, 8797/287 is
GCF of Numerators i.e. for 530,8797 is 1
LCM of denominators i.e. for 447,287 is 128289.
Thus, GCF of Fractions is 1/128289.Finally, GCF of Fractions for 530/447, 8797/287 is 1/128289.