Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 205/334,743/103,872/403
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 205,743,872
Greatest Common Factor of Numerators i.e. GCF of 205,743,872 is 1 .
LCM of Denominators means LCM of 334,103,403 as per the given fractions.
LCM of 334,103,403 is 13864006 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 205,743,872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Greatest Common Factor
We found the factors 205,743,872 . The biggest common factor number is the GCF number.
So the greatest common factor 205,743,872 is 1.
Lets's calculate LCM of 334,103,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 13864006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13864006
Therefore, the GCF of Fractions 205/334,743/103,872/403 is 1/13864006
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 334,103,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,103,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,103,403) x common factors =1 x 1 = 1
LCM(334,103,403) = ( 334 × 103 × 403 ) / 1
LCM(334,103,403) = 13864006 / 1
LCM(334,103,403) = 13864006
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 205/334, 743/103, 872/403?
Answer: GCF of Numerators as per given numbers 205/334, 743/103, 872/403 is
GCF of Numerators i.e. for 205,743,872 is 1
LCM of denominators i.e. for 334,103,403 is 13864006.
Thus, GCF of Fractions is 1/13864006.Finally, GCF of Fractions for 205/334, 743/103, 872/403 is 1/13864006.