Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 936/406,6143/180
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 936,6143
Greatest Common Factor of Numerators i.e. GCF of 936,6143 is 1 .
LCM of Denominators means LCM of 406,180 as per the given fractions.
LCM of 406,180 is 36540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 936,6143
∴ So GCF of numbers is 1 because of no common factors present between them.
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 6143
List of positive integer factors of 6143 that divides 6143 without a remainder.
1,6143
Greatest Common Factor
We found the factors 936,6143 . The biggest common factor number is the GCF number.
So the greatest common factor 936,6143 is 1.
Lets's calculate LCM of 406,180
2 | 406, 180 |
203, 90 |
∴ So the LCM of the given numbers is 2 x 203 x 90 = 36540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36540
Therefore, the GCF of Fractions 936/406,6143/180 is 1/36540
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 406,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,180) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,180) x common factors =2 x 1 = 2
LCM(406,180) = ( 406 × 180 ) / 2
LCM(406,180) = 73080 / 2
LCM(406,180) = 36540
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 936/406, 6143/180?
Answer: GCF of Numerators as per given numbers 936/406, 6143/180 is
GCF of Numerators i.e. for 936,6143 is 1
LCM of denominators i.e. for 406,180 is 36540.
Thus, GCF of Fractions is 1/36540.Finally, GCF of Fractions for 936/406, 6143/180 is 1/36540.