Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 623/75,540/47,337/41
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 623,540,337
Greatest Common Factor of Numerators i.e. GCF of 623,540,337 is 1 .
LCM of Denominators means LCM of 75,47,41 as per the given fractions.
LCM of 75,47,41 is 144525 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 623,540,337
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Greatest Common Factor
We found the factors 623,540,337 . The biggest common factor number is the GCF number.
So the greatest common factor 623,540,337 is 1.
Lets's calculate LCM of 75,47,41
Given numbers has no common factors except 1. So, there LCM is their product i.e 144525
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144525
Therefore, the GCF of Fractions 623/75,540/47,337/41 is 1/144525
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 75,47,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,47,41) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,47,41) x common factors =1 x 1 = 1
LCM(75,47,41) = ( 75 × 47 × 41 ) / 1
LCM(75,47,41) = 144525 / 1
LCM(75,47,41) = 144525
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 623/75, 540/47, 337/41?
Answer: GCF of Numerators as per given numbers 623/75, 540/47, 337/41 is
GCF of Numerators i.e. for 623,540,337 is 1
LCM of denominators i.e. for 75,47,41 is 144525.
Thus, GCF of Fractions is 1/144525.Finally, GCF of Fractions for 623/75, 540/47, 337/41 is 1/144525.