Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1844/645,5821/3538
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 1844,5821
Greatest Common Factor of Numerators i.e. GCF of 1844,5821 is 1 .
LCM of Denominators means LCM of 645,3538 as per the given fractions.
LCM of 645,3538 is 2282010 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1844,5821
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1844
List of positive integer factors of 1844 that divides 1844 without a remainder.
1,2,4,461,922,1844
Factors of 5821
List of positive integer factors of 5821 that divides 5821 without a remainder.
1,5821
Greatest Common Factor
We found the factors 1844,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 1844,5821 is 1.
Lets's calculate LCM of 645,3538
Given numbers has no common factors except 1. So, there LCM is their product i.e 2282010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2282010
Therefore, the GCF of Fractions 1844/645,5821/3538 is 1/2282010
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 645,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,3538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,3538) x common factors =1 x 1 = 1
LCM(645,3538) = ( 645 × 3538 ) / 1
LCM(645,3538) = 2282010 / 1
LCM(645,3538) = 2282010
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 1844/645, 5821/3538?
Answer: GCF of Numerators as per given numbers 1844/645, 5821/3538 is
GCF of Numerators i.e. for 1844,5821 is 1
LCM of denominators i.e. for 645,3538 is 2282010.
Thus, GCF of Fractions is 1/2282010.Finally, GCF of Fractions for 1844/645, 5821/3538 is 1/2282010.