Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 588/312,9596/5795
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 588,9596
Greatest Common Factor of Numerators i.e. GCF of 588,9596 is 4 .
LCM of Denominators means LCM of 312,5795 as per the given fractions.
LCM of 312,5795 is 1808040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 588,9596
2 | 588, 9596 |
2 | 294, 4798 |
147, 2399 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 9596
List of positive integer factors of 9596 that divides 9596 without a remainder.
1,2,4,2399,4798,9596
Greatest Common Factor
We found the factors 588,9596 . The biggest common factor number is the GCF number.
So the greatest common factor 588,9596 is 4.
Lets's calculate LCM of 312,5795
Given numbers has no common factors except 1. So, there LCM is their product i.e 1808040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1808040
Therefore, the GCF of Fractions 588/312,9596/5795 is 4/1808040
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 312,5795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,5795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,5795) x common factors =1 x 1 = 1
LCM(312,5795) = ( 312 × 5795 ) / 1
LCM(312,5795) = 1808040 / 1
LCM(312,5795) = 1808040
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 588/312, 9596/5795?
Answer: GCF of Numerators as per given numbers 588/312, 9596/5795 is
GCF of Numerators i.e. for 588,9596 is 4
LCM of denominators i.e. for 312,5795 is 1808040.
Thus, GCF of Fractions is 4/1808040.Finally, GCF of Fractions for 588/312, 9596/5795 is 4/1808040.