Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 579/93,863/401
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 579,863
Greatest Common Factor of Numerators i.e. GCF of 579,863 is 1 .
LCM of Denominators means LCM of 93,401 as per the given fractions.
LCM of 93,401 is 37293 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 579,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 579,863 . The biggest common factor number is the GCF number.
So the greatest common factor 579,863 is 1.
Lets's calculate LCM of 93,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 37293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37293
Therefore, the GCF of Fractions 579/93,863/401 is 1/37293
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 93,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(93,401) x common factors =1 x 1 = 1
LCM(93,401) = ( 93 × 401 ) / 1
LCM(93,401) = 37293 / 1
LCM(93,401) = 37293
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 579/93, 863/401?
Answer: GCF of Numerators as per given numbers 579/93, 863/401 is
GCF of Numerators i.e. for 579,863 is 1
LCM of denominators i.e. for 93,401 is 37293.
Thus, GCF of Fractions is 1/37293.Finally, GCF of Fractions for 579/93, 863/401 is 1/37293.