Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7306/13,8663/498
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 7306,8663
Greatest Common Factor of Numerators i.e. GCF of 7306,8663 is 1 .
LCM of Denominators means LCM of 13,498 as per the given fractions.
LCM of 13,498 is 6474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7306,8663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7306
List of positive integer factors of 7306 that divides 7306 without a remainder.
1,2,13,26,281,562,3653,7306
Factors of 8663
List of positive integer factors of 8663 that divides 8663 without a remainder.
1,8663
Greatest Common Factor
We found the factors 7306,8663 . The biggest common factor number is the GCF number.
So the greatest common factor 7306,8663 is 1.
Lets's calculate LCM of 13,498
Given numbers has no common factors except 1. So, there LCM is their product i.e 6474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6474
Therefore, the GCF of Fractions 7306/13,8663/498 is 1/6474
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 13,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,498) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,498) x common factors =1 x 1 = 1
LCM(13,498) = ( 13 × 498 ) / 1
LCM(13,498) = 6474 / 1
LCM(13,498) = 6474
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 7306/13, 8663/498?
Answer: GCF of Numerators as per given numbers 7306/13, 8663/498 is
GCF of Numerators i.e. for 7306,8663 is 1
LCM of denominators i.e. for 13,498 is 6474.
Thus, GCF of Fractions is 1/6474.Finally, GCF of Fractions for 7306/13, 8663/498 is 1/6474.