Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8703/421,5387/4946
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 8703,5387
Greatest Common Factor of Numerators i.e. GCF of 8703,5387 is 1 .
LCM of Denominators means LCM of 421,4946 as per the given fractions.
LCM of 421,4946 is 2082266 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8703,5387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8703
List of positive integer factors of 8703 that divides 8703 without a remainder.
1,3,9,967,2901,8703
Factors of 5387
List of positive integer factors of 5387 that divides 5387 without a remainder.
1,5387
Greatest Common Factor
We found the factors 8703,5387 . The biggest common factor number is the GCF number.
So the greatest common factor 8703,5387 is 1.
Lets's calculate LCM of 421,4946
Given numbers has no common factors except 1. So, there LCM is their product i.e 2082266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2082266
Therefore, the GCF of Fractions 8703/421,5387/4946 is 1/2082266
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 421,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4946) x common factors =1 x 1 = 1
LCM(421,4946) = ( 421 × 4946 ) / 1
LCM(421,4946) = 2082266 / 1
LCM(421,4946) = 2082266
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 8703/421, 5387/4946?
Answer: GCF of Numerators as per given numbers 8703/421, 5387/4946 is
GCF of Numerators i.e. for 8703,5387 is 1
LCM of denominators i.e. for 421,4946 is 2082266.
Thus, GCF of Fractions is 1/2082266.Finally, GCF of Fractions for 8703/421, 5387/4946 is 1/2082266.