Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1583/923,6097/2216
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 1583,6097
Greatest Common Factor of Numerators i.e. GCF of 1583,6097 is 1 .
LCM of Denominators means LCM of 923,2216 as per the given fractions.
LCM of 923,2216 is 2045368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1583,6097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1583
List of positive integer factors of 1583 that divides 1583 without a remainder.
1,1583
Factors of 6097
List of positive integer factors of 6097 that divides 6097 without a remainder.
1,7,13,67,91,469,871,6097
Greatest Common Factor
We found the factors 1583,6097 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,6097 is 1.
Lets's calculate LCM of 923,2216
Given numbers has no common factors except 1. So, there LCM is their product i.e 2045368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2045368
Therefore, the GCF of Fractions 1583/923,6097/2216 is 1/2045368
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 923,2216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,2216) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,2216) x common factors =1 x 1 = 1
LCM(923,2216) = ( 923 × 2216 ) / 1
LCM(923,2216) = 2045368 / 1
LCM(923,2216) = 2045368
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 1583/923, 6097/2216?
Answer: GCF of Numerators as per given numbers 1583/923, 6097/2216 is
GCF of Numerators i.e. for 1583,6097 is 1
LCM of denominators i.e. for 923,2216 is 2045368.
Thus, GCF of Fractions is 1/2045368.Finally, GCF of Fractions for 1583/923, 6097/2216 is 1/2045368.