Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/307,80/597,441/337
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 40,80,441
Greatest Common Factor of Numerators i.e. GCF of 40,80,441 is 1 .
LCM of Denominators means LCM of 307,597,337 as per the given fractions.
LCM of 307,597,337 is 61765023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,80,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 40,80,441 . The biggest common factor number is the GCF number.
So the greatest common factor 40,80,441 is 1.
Lets's calculate LCM of 307,597,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 61765023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61765023
Therefore, the GCF of Fractions 40/307,80/597,441/337 is 1/61765023
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 307,597,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,597,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,597,337) x common factors =1 x 1 = 1
LCM(307,597,337) = ( 307 × 597 × 337 ) / 1
LCM(307,597,337) = 61765023 / 1
LCM(307,597,337) = 61765023
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 40/307, 80/597, 441/337?
Answer: GCF of Numerators as per given numbers 40/307, 80/597, 441/337 is
GCF of Numerators i.e. for 40,80,441 is 1
LCM of denominators i.e. for 307,597,337 is 61765023.
Thus, GCF of Fractions is 1/61765023.Finally, GCF of Fractions for 40/307, 80/597, 441/337 is 1/61765023.