Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4000/337,1823/1364
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 4000,1823
Greatest Common Factor of Numerators i.e. GCF of 4000,1823 is 1 .
LCM of Denominators means LCM of 337,1364 as per the given fractions.
LCM of 337,1364 is 459668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4000,1823
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4000
List of positive integer factors of 4000 that divides 4000 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,125,160,200,250,400,500,800,1000,2000,4000
Factors of 1823
List of positive integer factors of 1823 that divides 1823 without a remainder.
1,1823
Greatest Common Factor
We found the factors 4000,1823 . The biggest common factor number is the GCF number.
So the greatest common factor 4000,1823 is 1.
Lets's calculate LCM of 337,1364
Given numbers has no common factors except 1. So, there LCM is their product i.e 459668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/459668
Therefore, the GCF of Fractions 4000/337,1823/1364 is 1/459668
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 337,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,1364) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,1364) x common factors =1 x 1 = 1
LCM(337,1364) = ( 337 × 1364 ) / 1
LCM(337,1364) = 459668 / 1
LCM(337,1364) = 459668
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 4000/337, 1823/1364?
Answer: GCF of Numerators as per given numbers 4000/337, 1823/1364 is
GCF of Numerators i.e. for 4000,1823 is 1
LCM of denominators i.e. for 337,1364 is 459668.
Thus, GCF of Fractions is 1/459668.Finally, GCF of Fractions for 4000/337, 1823/1364 is 1/459668.