Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5893/997,9477/9623
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 5893,9477
Greatest Common Factor of Numerators i.e. GCF of 5893,9477 is 1 .
LCM of Denominators means LCM of 997,9623 as per the given fractions.
LCM of 997,9623 is 9594131 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5893,9477
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5893
List of positive integer factors of 5893 that divides 5893 without a remainder.
1,71,83,5893
Factors of 9477
List of positive integer factors of 9477 that divides 9477 without a remainder.
1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Greatest Common Factor
We found the factors 5893,9477 . The biggest common factor number is the GCF number.
So the greatest common factor 5893,9477 is 1.
Lets's calculate LCM of 997,9623
Given numbers has no common factors except 1. So, there LCM is their product i.e 9594131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9594131
Therefore, the GCF of Fractions 5893/997,9477/9623 is 1/9594131
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 997,9623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,9623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,9623) x common factors =1 x 1 = 1
LCM(997,9623) = ( 997 × 9623 ) / 1
LCM(997,9623) = 9594131 / 1
LCM(997,9623) = 9594131
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 5893/997, 9477/9623?
Answer: GCF of Numerators as per given numbers 5893/997, 9477/9623 is
GCF of Numerators i.e. for 5893,9477 is 1
LCM of denominators i.e. for 997,9623 is 9594131.
Thus, GCF of Fractions is 1/9594131.Finally, GCF of Fractions for 5893/997, 9477/9623 is 1/9594131.