Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6664/711,4833/592
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 6664,4833
Greatest Common Factor of Numerators i.e. GCF of 6664,4833 is 1 .
LCM of Denominators means LCM of 711,592 as per the given fractions.
LCM of 711,592 is 420912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6664,4833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6664
List of positive integer factors of 6664 that divides 6664 without a remainder.
1,2,4,7,8,14,17,28,34,49,56,68,98,119,136,196,238,392,476,833,952,1666,3332,6664
Factors of 4833
List of positive integer factors of 4833 that divides 4833 without a remainder.
1,3,9,27,179,537,1611,4833
Greatest Common Factor
We found the factors 6664,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 6664,4833 is 1.
Lets's calculate LCM of 711,592
Given numbers has no common factors except 1. So, there LCM is their product i.e 420912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/420912
Therefore, the GCF of Fractions 6664/711,4833/592 is 1/420912
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 711,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,592) x common factors =1 x 1 = 1
LCM(711,592) = ( 711 × 592 ) / 1
LCM(711,592) = 420912 / 1
LCM(711,592) = 420912
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 6664/711, 4833/592?
Answer: GCF of Numerators as per given numbers 6664/711, 4833/592 is
GCF of Numerators i.e. for 6664,4833 is 1
LCM of denominators i.e. for 711,592 is 420912.
Thus, GCF of Fractions is 1/420912.Finally, GCF of Fractions for 6664/711, 4833/592 is 1/420912.