Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 108/179,5996/115
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 108,5996
Greatest Common Factor of Numerators i.e. GCF of 108,5996 is 4 .
LCM of Denominators means LCM of 179,115 as per the given fractions.
LCM of 179,115 is 20585 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 108,5996
2 | 108, 5996 |
2 | 54, 2998 |
27, 1499 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 108
List of positive integer factors of 108 that divides 108 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,108
Factors of 5996
List of positive integer factors of 5996 that divides 5996 without a remainder.
1,2,4,1499,2998,5996
Greatest Common Factor
We found the factors 108,5996 . The biggest common factor number is the GCF number.
So the greatest common factor 108,5996 is 4.
Lets's calculate LCM of 179,115
Given numbers has no common factors except 1. So, there LCM is their product i.e 20585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20585
Therefore, the GCF of Fractions 108/179,5996/115 is 4/20585
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 179,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,115) x common factors =1 x 1 = 1
LCM(179,115) = ( 179 × 115 ) / 1
LCM(179,115) = 20585 / 1
LCM(179,115) = 20585
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 108/179, 5996/115?
Answer: GCF of Numerators as per given numbers 108/179, 5996/115 is
GCF of Numerators i.e. for 108,5996 is 4
LCM of denominators i.e. for 179,115 is 20585.
Thus, GCF of Fractions is 4/20585.Finally, GCF of Fractions for 108/179, 5996/115 is 4/20585.