Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/73,900/4405
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 461,900
Greatest Common Factor of Numerators i.e. GCF of 461,900 is 1 .
LCM of Denominators means LCM of 73,4405 as per the given fractions.
LCM of 73,4405 is 321565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 461,900
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 461,900 . The biggest common factor number is the GCF number.
So the greatest common factor 461,900 is 1.
Lets's calculate LCM of 73,4405
Given numbers has no common factors except 1. So, there LCM is their product i.e 321565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321565
Therefore, the GCF of Fractions 461/73,900/4405 is 1/321565
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 73,4405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,4405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,4405) x common factors =1 x 1 = 1
LCM(73,4405) = ( 73 × 4405 ) / 1
LCM(73,4405) = 321565 / 1
LCM(73,4405) = 321565
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 461/73, 900/4405?
Answer: GCF of Numerators as per given numbers 461/73, 900/4405 is
GCF of Numerators i.e. for 461,900 is 1
LCM of denominators i.e. for 73,4405 is 321565.
Thus, GCF of Fractions is 1/321565.Finally, GCF of Fractions for 461/73, 900/4405 is 1/321565.