Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1339/353,5805/462
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 1339,5805
Greatest Common Factor of Numerators i.e. GCF of 1339,5805 is 1 .
LCM of Denominators means LCM of 353,462 as per the given fractions.
LCM of 353,462 is 163086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1339,5805
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1339
List of positive integer factors of 1339 that divides 1339 without a remainder.
1,13,103,1339
Factors of 5805
List of positive integer factors of 5805 that divides 5805 without a remainder.
1,3,5,9,15,27,43,45,129,135,215,387,645,1161,1935,5805
Greatest Common Factor
We found the factors 1339,5805 . The biggest common factor number is the GCF number.
So the greatest common factor 1339,5805 is 1.
Lets's calculate LCM of 353,462
Given numbers has no common factors except 1. So, there LCM is their product i.e 163086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163086
Therefore, the GCF of Fractions 1339/353,5805/462 is 1/163086
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 353,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,462) x common factors =1 x 1 = 1
LCM(353,462) = ( 353 × 462 ) / 1
LCM(353,462) = 163086 / 1
LCM(353,462) = 163086
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 1339/353, 5805/462?
Answer: GCF of Numerators as per given numbers 1339/353, 5805/462 is
GCF of Numerators i.e. for 1339,5805 is 1
LCM of denominators i.e. for 353,462 is 163086.
Thus, GCF of Fractions is 1/163086.Finally, GCF of Fractions for 1339/353, 5805/462 is 1/163086.