Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/4553,168/4133
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 936,168
Greatest Common Factor of Numerators i.e. GCF of 936,168 is 24 .
LCM of Denominators means LCM of 4553,4133 as per the given fractions.
LCM of 4553,4133 is 18817549 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 936,168
2 | 936, 168 |
2 | 468, 84 |
2 | 234, 42 |
3 | 117, 21 |
39, 7 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 936,168 . The biggest common factor number is the GCF number.
So the greatest common factor 936,168 is 24.
Lets's calculate LCM of 4553,4133
Given numbers has no common factors except 1. So, there LCM is their product i.e 18817549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/18817549
Therefore, the GCF of Fractions 936/4553,168/4133 is 24/18817549
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 4553,4133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4553,4133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4553,4133) x common factors =1 x 1 = 1
LCM(4553,4133) = ( 4553 × 4133 ) / 1
LCM(4553,4133) = 18817549 / 1
LCM(4553,4133) = 18817549
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 936/4553, 168/4133?
Answer: GCF of Numerators as per given numbers 936/4553, 168/4133 is
GCF of Numerators i.e. for 936,168 is 24
LCM of denominators i.e. for 4553,4133 is 18817549.
Thus, GCF of Fractions is 24/18817549.Finally, GCF of Fractions for 936/4553, 168/4133 is 24/18817549.