Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/328,5449/5181
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 58,5449
Greatest Common Factor of Numerators i.e. GCF of 58,5449 is 1 .
LCM of Denominators means LCM of 328,5181 as per the given fractions.
LCM of 328,5181 is 1699368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 5449
List of positive integer factors of 5449 that divides 5449 without a remainder.
1,5449
Greatest Common Factor
We found the factors 58,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 58,5449 is 1.
Lets's calculate LCM of 328,5181
Given numbers has no common factors except 1. So, there LCM is their product i.e 1699368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1699368
Therefore, the GCF of Fractions 58/328,5449/5181 is 1/1699368
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 328,5181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,5181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,5181) x common factors =1 x 1 = 1
LCM(328,5181) = ( 328 × 5181 ) / 1
LCM(328,5181) = 1699368 / 1
LCM(328,5181) = 1699368
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 58/328, 5449/5181?
Answer: GCF of Numerators as per given numbers 58/328, 5449/5181 is
GCF of Numerators i.e. for 58,5449 is 1
LCM of denominators i.e. for 328,5181 is 1699368.
Thus, GCF of Fractions is 1/1699368.Finally, GCF of Fractions for 58/328, 5449/5181 is 1/1699368.