Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 605/4562,491/5141
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 605,491
Greatest Common Factor of Numerators i.e. GCF of 605,491 is 1 .
LCM of Denominators means LCM of 4562,5141 as per the given fractions.
LCM of 4562,5141 is 23453242 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 605,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 605,491 . The biggest common factor number is the GCF number.
So the greatest common factor 605,491 is 1.
Lets's calculate LCM of 4562,5141
Given numbers has no common factors except 1. So, there LCM is their product i.e 23453242
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23453242
Therefore, the GCF of Fractions 605/4562,491/5141 is 1/23453242
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 4562,5141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4562,5141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4562,5141) x common factors =1 x 1 = 1
LCM(4562,5141) = ( 4562 × 5141 ) / 1
LCM(4562,5141) = 23453242 / 1
LCM(4562,5141) = 23453242
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 605/4562, 491/5141?
Answer: GCF of Numerators as per given numbers 605/4562, 491/5141 is
GCF of Numerators i.e. for 605,491 is 1
LCM of denominators i.e. for 4562,5141 is 23453242.
Thus, GCF of Fractions is 1/23453242.Finally, GCF of Fractions for 605/4562, 491/5141 is 1/23453242.