Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9421/601,4245/404
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 9421,4245
Greatest Common Factor of Numerators i.e. GCF of 9421,4245 is 1 .
LCM of Denominators means LCM of 601,404 as per the given fractions.
LCM of 601,404 is 242804 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9421,4245
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9421
List of positive integer factors of 9421 that divides 9421 without a remainder.
1,9421
Factors of 4245
List of positive integer factors of 4245 that divides 4245 without a remainder.
1,3,5,15,283,849,1415,4245
Greatest Common Factor
We found the factors 9421,4245 . The biggest common factor number is the GCF number.
So the greatest common factor 9421,4245 is 1.
Lets's calculate LCM of 601,404
Given numbers has no common factors except 1. So, there LCM is their product i.e 242804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242804
Therefore, the GCF of Fractions 9421/601,4245/404 is 1/242804
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 601,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,404) x common factors =1 x 1 = 1
LCM(601,404) = ( 601 × 404 ) / 1
LCM(601,404) = 242804 / 1
LCM(601,404) = 242804
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 9421/601, 4245/404?
Answer: GCF of Numerators as per given numbers 9421/601, 4245/404 is
GCF of Numerators i.e. for 9421,4245 is 1
LCM of denominators i.e. for 601,404 is 242804.
Thus, GCF of Fractions is 1/242804.Finally, GCF of Fractions for 9421/601, 4245/404 is 1/242804.