Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6471/75,3872/563
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 6471,3872
Greatest Common Factor of Numerators i.e. GCF of 6471,3872 is 1 .
LCM of Denominators means LCM of 75,563 as per the given fractions.
LCM of 75,563 is 42225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6471,3872
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6471
List of positive integer factors of 6471 that divides 6471 without a remainder.
1,3,9,719,2157,6471
Factors of 3872
List of positive integer factors of 3872 that divides 3872 without a remainder.
1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872
Greatest Common Factor
We found the factors 6471,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 6471,3872 is 1.
Lets's calculate LCM of 75,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 42225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42225
Therefore, the GCF of Fractions 6471/75,3872/563 is 1/42225
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 75,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,563) x common factors =1 x 1 = 1
LCM(75,563) = ( 75 × 563 ) / 1
LCM(75,563) = 42225 / 1
LCM(75,563) = 42225
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 6471/75, 3872/563?
Answer: GCF of Numerators as per given numbers 6471/75, 3872/563 is
GCF of Numerators i.e. for 6471,3872 is 1
LCM of denominators i.e. for 75,563 is 42225.
Thus, GCF of Fractions is 1/42225.Finally, GCF of Fractions for 6471/75, 3872/563 is 1/42225.