Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6479/55,3996/296
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 6479,3996
Greatest Common Factor of Numerators i.e. GCF of 6479,3996 is 1 .
LCM of Denominators means LCM of 55,296 as per the given fractions.
LCM of 55,296 is 16280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6479,3996
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6479
List of positive integer factors of 6479 that divides 6479 without a remainder.
1,11,19,31,209,341,589,6479
Factors of 3996
List of positive integer factors of 3996 that divides 3996 without a remainder.
1,2,3,4,6,9,12,18,27,36,37,54,74,108,111,148,222,333,444,666,999,1332,1998,3996
Greatest Common Factor
We found the factors 6479,3996 . The biggest common factor number is the GCF number.
So the greatest common factor 6479,3996 is 1.
Lets's calculate LCM of 55,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 16280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16280
Therefore, the GCF of Fractions 6479/55,3996/296 is 1/16280
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 55,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,296) x common factors =1 x 1 = 1
LCM(55,296) = ( 55 × 296 ) / 1
LCM(55,296) = 16280 / 1
LCM(55,296) = 16280
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 6479/55, 3996/296?
Answer: GCF of Numerators as per given numbers 6479/55, 3996/296 is
GCF of Numerators i.e. for 6479,3996 is 1
LCM of denominators i.e. for 55,296 is 16280.
Thus, GCF of Fractions is 1/16280.Finally, GCF of Fractions for 6479/55, 3996/296 is 1/16280.