Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6033/506,6613/183
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 6033,6613
Greatest Common Factor of Numerators i.e. GCF of 6033,6613 is 1 .
LCM of Denominators means LCM of 506,183 as per the given fractions.
LCM of 506,183 is 92598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6033,6613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6033
List of positive integer factors of 6033 that divides 6033 without a remainder.
1,3,2011,6033
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1,17,389,6613
Greatest Common Factor
We found the factors 6033,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 6033,6613 is 1.
Lets's calculate LCM of 506,183
Given numbers has no common factors except 1. So, there LCM is their product i.e 92598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92598
Therefore, the GCF of Fractions 6033/506,6613/183 is 1/92598
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 506,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,183) x common factors =1 x 1 = 1
LCM(506,183) = ( 506 × 183 ) / 1
LCM(506,183) = 92598 / 1
LCM(506,183) = 92598
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 6033/506, 6613/183?
Answer: GCF of Numerators as per given numbers 6033/506, 6613/183 is
GCF of Numerators i.e. for 6033,6613 is 1
LCM of denominators i.e. for 506,183 is 92598.
Thus, GCF of Fractions is 1/92598.Finally, GCF of Fractions for 6033/506, 6613/183 is 1/92598.