Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 603/363,570/340,409/811
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 603,570,409
Greatest Common Factor of Numerators i.e. GCF of 603,570,409 is 1 .
LCM of Denominators means LCM of 363,340,811 as per the given fractions.
LCM of 363,340,811 is 100093620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 603,570,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 603,570,409 . The biggest common factor number is the GCF number.
So the greatest common factor 603,570,409 is 1.
Lets's calculate LCM of 363,340,811
Given numbers has no common factors except 1. So, there LCM is their product i.e 100093620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100093620
Therefore, the GCF of Fractions 603/363,570/340,409/811 is 1/100093620
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 363,340,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,340,811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,340,811) x common factors =1 x 1 = 1
LCM(363,340,811) = ( 363 × 340 × 811 ) / 1
LCM(363,340,811) = 100093620 / 1
LCM(363,340,811) = 100093620
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 603/363, 570/340, 409/811?
Answer: GCF of Numerators as per given numbers 603/363, 570/340, 409/811 is
GCF of Numerators i.e. for 603,570,409 is 1
LCM of denominators i.e. for 363,340,811 is 100093620.
Thus, GCF of Fractions is 1/100093620.Finally, GCF of Fractions for 603/363, 570/340, 409/811 is 1/100093620.