Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/200,3022/471
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 741,3022
Greatest Common Factor of Numerators i.e. GCF of 741,3022 is 1 .
LCM of Denominators means LCM of 200,471 as per the given fractions.
LCM of 200,471 is 94200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 741,3022
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 3022
List of positive integer factors of 3022 that divides 3022 without a remainder.
1,2,1511,3022
Greatest Common Factor
We found the factors 741,3022 . The biggest common factor number is the GCF number.
So the greatest common factor 741,3022 is 1.
Lets's calculate LCM of 200,471
Given numbers has no common factors except 1. So, there LCM is their product i.e 94200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94200
Therefore, the GCF of Fractions 741/200,3022/471 is 1/94200
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 200,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(200,471) x common factors =1 x 1 = 1
LCM(200,471) = ( 200 × 471 ) / 1
LCM(200,471) = 94200 / 1
LCM(200,471) = 94200
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 741/200, 3022/471?
Answer: GCF of Numerators as per given numbers 741/200, 3022/471 is
GCF of Numerators i.e. for 741,3022 is 1
LCM of denominators i.e. for 200,471 is 94200.
Thus, GCF of Fractions is 1/94200.Finally, GCF of Fractions for 741/200, 3022/471 is 1/94200.