Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4537/883,9663/4902
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 4537,9663
Greatest Common Factor of Numerators i.e. GCF of 4537,9663 is 1 .
LCM of Denominators means LCM of 883,4902 as per the given fractions.
LCM of 883,4902 is 4328466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4537,9663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4537
List of positive integer factors of 4537 that divides 4537 without a remainder.
1,13,349,4537
Factors of 9663
List of positive integer factors of 9663 that divides 9663 without a remainder.
1,3,3221,9663
Greatest Common Factor
We found the factors 4537,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 4537,9663 is 1.
Lets's calculate LCM of 883,4902
Given numbers has no common factors except 1. So, there LCM is their product i.e 4328466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4328466
Therefore, the GCF of Fractions 4537/883,9663/4902 is 1/4328466
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 883,4902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(883,4902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(883,4902) x common factors =1 x 1 = 1
LCM(883,4902) = ( 883 × 4902 ) / 1
LCM(883,4902) = 4328466 / 1
LCM(883,4902) = 4328466
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 4537/883, 9663/4902?
Answer: GCF of Numerators as per given numbers 4537/883, 9663/4902 is
GCF of Numerators i.e. for 4537,9663 is 1
LCM of denominators i.e. for 883,4902 is 4328466.
Thus, GCF of Fractions is 1/4328466.Finally, GCF of Fractions for 4537/883, 9663/4902 is 1/4328466.