Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/405,4579/169
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 433,4579
Greatest Common Factor of Numerators i.e. GCF of 433,4579 is 1 .
LCM of Denominators means LCM of 405,169 as per the given fractions.
LCM of 405,169 is 68445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 433,4579
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 4579
List of positive integer factors of 4579 that divides 4579 without a remainder.
1,19,241,4579
Greatest Common Factor
We found the factors 433,4579 . The biggest common factor number is the GCF number.
So the greatest common factor 433,4579 is 1.
Lets's calculate LCM of 405,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 68445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68445
Therefore, the GCF of Fractions 433/405,4579/169 is 1/68445
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 405,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,169) x common factors =1 x 1 = 1
LCM(405,169) = ( 405 × 169 ) / 1
LCM(405,169) = 68445 / 1
LCM(405,169) = 68445
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 433/405, 4579/169?
Answer: GCF of Numerators as per given numbers 433/405, 4579/169 is
GCF of Numerators i.e. for 433,4579 is 1
LCM of denominators i.e. for 405,169 is 68445.
Thus, GCF of Fractions is 1/68445.Finally, GCF of Fractions for 433/405, 4579/169 is 1/68445.