Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 512/511,404/809
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 512,404
Greatest Common Factor of Numerators i.e. GCF of 512,404 is 4 .
LCM of Denominators means LCM of 511,809 as per the given fractions.
LCM of 511,809 is 413399 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 512,404
2 | 512, 404 |
2 | 256, 202 |
128, 101 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Greatest Common Factor
We found the factors 512,404 . The biggest common factor number is the GCF number.
So the greatest common factor 512,404 is 4.
Lets's calculate LCM of 511,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 413399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/413399
Therefore, the GCF of Fractions 512/511,404/809 is 4/413399
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 511,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,809) x common factors =1 x 1 = 1
LCM(511,809) = ( 511 × 809 ) / 1
LCM(511,809) = 413399 / 1
LCM(511,809) = 413399
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 512/511, 404/809?
Answer: GCF of Numerators as per given numbers 512/511, 404/809 is
GCF of Numerators i.e. for 512,404 is 4
LCM of denominators i.e. for 511,809 is 413399.
Thus, GCF of Fractions is 4/413399.Finally, GCF of Fractions for 512/511, 404/809 is 4/413399.