Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 595/468,4736/806
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 595,4736
Greatest Common Factor of Numerators i.e. GCF of 595,4736 is 1 .
LCM of Denominators means LCM of 468,806 as per the given fractions.
LCM of 468,806 is 14508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 595,4736
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Factors of 4736
List of positive integer factors of 4736 that divides 4736 without a remainder.
1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736
Greatest Common Factor
We found the factors 595,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 595,4736 is 1.
Lets's calculate LCM of 468,806
2 | 468, 806 |
13 | 234, 403 |
18, 31 |
∴ So the LCM of the given numbers is 2 x 13 x 18 x 31 = 14508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14508
Therefore, the GCF of Fractions 595/468,4736/806 is 1/14508
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 468,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,806) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(468,806) x common factors =26 x 1 = 26
LCM(468,806) = ( 468 × 806 ) / 26
LCM(468,806) = 377208 / 26
LCM(468,806) = 14508
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 595/468, 4736/806?
Answer: GCF of Numerators as per given numbers 595/468, 4736/806 is
GCF of Numerators i.e. for 595,4736 is 1
LCM of denominators i.e. for 468,806 is 14508.
Thus, GCF of Fractions is 1/14508.Finally, GCF of Fractions for 595/468, 4736/806 is 1/14508.