Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/420,6108/179
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 531,6108
Greatest Common Factor of Numerators i.e. GCF of 531,6108 is 3 .
LCM of Denominators means LCM of 420,179 as per the given fractions.
LCM of 420,179 is 75180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 531,6108
3 | 531, 6108 |
177, 2036 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 6108
List of positive integer factors of 6108 that divides 6108 without a remainder.
1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Greatest Common Factor
We found the factors 531,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 531,6108 is 3.
Lets's calculate LCM of 420,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 75180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75180
Therefore, the GCF of Fractions 531/420,6108/179 is 3/75180
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 420,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(420,179) x common factors =1 x 1 = 1
LCM(420,179) = ( 420 × 179 ) / 1
LCM(420,179) = 75180 / 1
LCM(420,179) = 75180
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 531/420, 6108/179?
Answer: GCF of Numerators as per given numbers 531/420, 6108/179 is
GCF of Numerators i.e. for 531,6108 is 3
LCM of denominators i.e. for 420,179 is 75180.
Thus, GCF of Fractions is 3/75180.Finally, GCF of Fractions for 531/420, 6108/179 is 3/75180.