Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 405/262,4466/821
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 405,4466
Greatest Common Factor of Numerators i.e. GCF of 405,4466 is 1 .
LCM of Denominators means LCM of 262,821 as per the given fractions.
LCM of 262,821 is 215102 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 405,4466
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 405
List of positive integer factors of 405 that divides 405 without a remainder.
1,3,5,9,15,27,45,81,135,405
Factors of 4466
List of positive integer factors of 4466 that divides 4466 without a remainder.
1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Greatest Common Factor
We found the factors 405,4466 . The biggest common factor number is the GCF number.
So the greatest common factor 405,4466 is 1.
Lets's calculate LCM of 262,821
Given numbers has no common factors except 1. So, there LCM is their product i.e 215102
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215102
Therefore, the GCF of Fractions 405/262,4466/821 is 1/215102
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 262,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,821) x common factors =1 x 1 = 1
LCM(262,821) = ( 262 × 821 ) / 1
LCM(262,821) = 215102 / 1
LCM(262,821) = 215102
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 405/262, 4466/821?
Answer: GCF of Numerators as per given numbers 405/262, 4466/821 is
GCF of Numerators i.e. for 405,4466 is 1
LCM of denominators i.e. for 262,821 is 215102.
Thus, GCF of Fractions is 1/215102.Finally, GCF of Fractions for 405/262, 4466/821 is 1/215102.