Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4542/810,5857/6299
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 4542,5857
Greatest Common Factor of Numerators i.e. GCF of 4542,5857 is 1 .
LCM of Denominators means LCM of 810,6299 as per the given fractions.
LCM of 810,6299 is 5102190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4542,5857
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4542
List of positive integer factors of 4542 that divides 4542 without a remainder.
1,2,3,6,757,1514,2271,4542
Factors of 5857
List of positive integer factors of 5857 that divides 5857 without a remainder.
1,5857
Greatest Common Factor
We found the factors 4542,5857 . The biggest common factor number is the GCF number.
So the greatest common factor 4542,5857 is 1.
Lets's calculate LCM of 810,6299
Given numbers has no common factors except 1. So, there LCM is their product i.e 5102190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5102190
Therefore, the GCF of Fractions 4542/810,5857/6299 is 1/5102190
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 810,6299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,6299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,6299) x common factors =1 x 1 = 1
LCM(810,6299) = ( 810 × 6299 ) / 1
LCM(810,6299) = 5102190 / 1
LCM(810,6299) = 5102190
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 4542/810, 5857/6299?
Answer: GCF of Numerators as per given numbers 4542/810, 5857/6299 is
GCF of Numerators i.e. for 4542,5857 is 1
LCM of denominators i.e. for 810,6299 is 5102190.
Thus, GCF of Fractions is 1/5102190.Finally, GCF of Fractions for 4542/810, 5857/6299 is 1/5102190.