Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 588/89,5239/530
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 588,5239
Greatest Common Factor of Numerators i.e. GCF of 588,5239 is 1 .
LCM of Denominators means LCM of 89,530 as per the given fractions.
LCM of 89,530 is 47170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 588,5239
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 5239
List of positive integer factors of 5239 that divides 5239 without a remainder.
1,13,31,169,403,5239
Greatest Common Factor
We found the factors 588,5239 . The biggest common factor number is the GCF number.
So the greatest common factor 588,5239 is 1.
Lets's calculate LCM of 89,530
Given numbers has no common factors except 1. So, there LCM is their product i.e 47170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47170
Therefore, the GCF of Fractions 588/89,5239/530 is 1/47170
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 89,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,530) x common factors =1 x 1 = 1
LCM(89,530) = ( 89 × 530 ) / 1
LCM(89,530) = 47170 / 1
LCM(89,530) = 47170
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 588/89, 5239/530?
Answer: GCF of Numerators as per given numbers 588/89, 5239/530 is
GCF of Numerators i.e. for 588,5239 is 1
LCM of denominators i.e. for 89,530 is 47170.
Thus, GCF of Fractions is 1/47170.Finally, GCF of Fractions for 588/89, 5239/530 is 1/47170.