Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8238/59,3637/801
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 8238,3637
Greatest Common Factor of Numerators i.e. GCF of 8238,3637 is 1 .
LCM of Denominators means LCM of 59,801 as per the given fractions.
LCM of 59,801 is 47259 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8238,3637
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8238
List of positive integer factors of 8238 that divides 8238 without a remainder.
1,2,3,6,1373,2746,4119,8238
Factors of 3637
List of positive integer factors of 3637 that divides 3637 without a remainder.
1,3637
Greatest Common Factor
We found the factors 8238,3637 . The biggest common factor number is the GCF number.
So the greatest common factor 8238,3637 is 1.
Lets's calculate LCM of 59,801
Given numbers has no common factors except 1. So, there LCM is their product i.e 47259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47259
Therefore, the GCF of Fractions 8238/59,3637/801 is 1/47259
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 59,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,801) x common factors =1 x 1 = 1
LCM(59,801) = ( 59 × 801 ) / 1
LCM(59,801) = 47259 / 1
LCM(59,801) = 47259
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 8238/59, 3637/801?
Answer: GCF of Numerators as per given numbers 8238/59, 3637/801 is
GCF of Numerators i.e. for 8238,3637 is 1
LCM of denominators i.e. for 59,801 is 47259.
Thus, GCF of Fractions is 1/47259.Finally, GCF of Fractions for 8238/59, 3637/801 is 1/47259.