Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5904/472,9485/9283
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 5904,9485
Greatest Common Factor of Numerators i.e. GCF of 5904,9485 is 1 .
LCM of Denominators means LCM of 472,9283 as per the given fractions.
LCM of 472,9283 is 4381576 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5904,9485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5904
List of positive integer factors of 5904 that divides 5904 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904
Factors of 9485
List of positive integer factors of 9485 that divides 9485 without a remainder.
1,5,7,35,271,1355,1897,9485
Greatest Common Factor
We found the factors 5904,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 5904,9485 is 1.
Lets's calculate LCM of 472,9283
Given numbers has no common factors except 1. So, there LCM is their product i.e 4381576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4381576
Therefore, the GCF of Fractions 5904/472,9485/9283 is 1/4381576
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 472,9283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,9283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,9283) x common factors =1 x 1 = 1
LCM(472,9283) = ( 472 × 9283 ) / 1
LCM(472,9283) = 4381576 / 1
LCM(472,9283) = 4381576
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 5904/472, 9485/9283?
Answer: GCF of Numerators as per given numbers 5904/472, 9485/9283 is
GCF of Numerators i.e. for 5904,9485 is 1
LCM of denominators i.e. for 472,9283 is 4381576.
Thus, GCF of Fractions is 1/4381576.Finally, GCF of Fractions for 5904/472, 9485/9283 is 1/4381576.