Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3603/538,4292/2717
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 3603,4292
Greatest Common Factor of Numerators i.e. GCF of 3603,4292 is 1 .
LCM of Denominators means LCM of 538,2717 as per the given fractions.
LCM of 538,2717 is 1461746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3603,4292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3603
List of positive integer factors of 3603 that divides 3603 without a remainder.
1,3,1201,3603
Factors of 4292
List of positive integer factors of 4292 that divides 4292 without a remainder.
1,2,4,29,37,58,74,116,148,1073,2146,4292
Greatest Common Factor
We found the factors 3603,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 3603,4292 is 1.
Lets's calculate LCM of 538,2717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1461746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1461746
Therefore, the GCF of Fractions 3603/538,4292/2717 is 1/1461746
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 538,2717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,2717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(538,2717) x common factors =1 x 1 = 1
LCM(538,2717) = ( 538 × 2717 ) / 1
LCM(538,2717) = 1461746 / 1
LCM(538,2717) = 1461746
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 3603/538, 4292/2717?
Answer: GCF of Numerators as per given numbers 3603/538, 4292/2717 is
GCF of Numerators i.e. for 3603,4292 is 1
LCM of denominators i.e. for 538,2717 is 1461746.
Thus, GCF of Fractions is 1/1461746.Finally, GCF of Fractions for 3603/538, 4292/2717 is 1/1461746.