Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/127,3659/6413
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 536,3659
Greatest Common Factor of Numerators i.e. GCF of 536,3659 is 1 .
LCM of Denominators means LCM of 127,6413 as per the given fractions.
LCM of 127,6413 is 814451 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 3659
List of positive integer factors of 3659 that divides 3659 without a remainder.
1,3659
Greatest Common Factor
We found the factors 536,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 536,3659 is 1.
Lets's calculate LCM of 127,6413
Given numbers has no common factors except 1. So, there LCM is their product i.e 814451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/814451
Therefore, the GCF of Fractions 536/127,3659/6413 is 1/814451
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 127,6413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,6413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,6413) x common factors =1 x 1 = 1
LCM(127,6413) = ( 127 × 6413 ) / 1
LCM(127,6413) = 814451 / 1
LCM(127,6413) = 814451
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 536/127, 3659/6413?
Answer: GCF of Numerators as per given numbers 536/127, 3659/6413 is
GCF of Numerators i.e. for 536,3659 is 1
LCM of denominators i.e. for 127,6413 is 814451.
Thus, GCF of Fractions is 1/814451.Finally, GCF of Fractions for 536/127, 3659/6413 is 1/814451.