Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6481/512,8577/8403
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 6481,8577
Greatest Common Factor of Numerators i.e. GCF of 6481,8577 is 1 .
LCM of Denominators means LCM of 512,8403 as per the given fractions.
LCM of 512,8403 is 4302336 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6481,8577
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6481
List of positive integer factors of 6481 that divides 6481 without a remainder.
1,6481
Factors of 8577
List of positive integer factors of 8577 that divides 8577 without a remainder.
1,3,9,953,2859,8577
Greatest Common Factor
We found the factors 6481,8577 . The biggest common factor number is the GCF number.
So the greatest common factor 6481,8577 is 1.
Lets's calculate LCM of 512,8403
Given numbers has no common factors except 1. So, there LCM is their product i.e 4302336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4302336
Therefore, the GCF of Fractions 6481/512,8577/8403 is 1/4302336
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 512,8403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,8403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,8403) x common factors =1 x 1 = 1
LCM(512,8403) = ( 512 × 8403 ) / 1
LCM(512,8403) = 4302336 / 1
LCM(512,8403) = 4302336
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 6481/512, 8577/8403?
Answer: GCF of Numerators as per given numbers 6481/512, 8577/8403 is
GCF of Numerators i.e. for 6481,8577 is 1
LCM of denominators i.e. for 512,8403 is 4302336.
Thus, GCF of Fractions is 1/4302336.Finally, GCF of Fractions for 6481/512, 8577/8403 is 1/4302336.