Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8811/923,5242/8267
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 8811,5242
Greatest Common Factor of Numerators i.e. GCF of 8811,5242 is 1 .
LCM of Denominators means LCM of 923,8267 as per the given fractions.
LCM of 923,8267 is 7630441 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8811,5242
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8811
List of positive integer factors of 8811 that divides 8811 without a remainder.
1,3,9,11,33,89,99,267,801,979,2937,8811
Factors of 5242
List of positive integer factors of 5242 that divides 5242 without a remainder.
1,2,2621,5242
Greatest Common Factor
We found the factors 8811,5242 . The biggest common factor number is the GCF number.
So the greatest common factor 8811,5242 is 1.
Lets's calculate LCM of 923,8267
Given numbers has no common factors except 1. So, there LCM is their product i.e 7630441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7630441
Therefore, the GCF of Fractions 8811/923,5242/8267 is 1/7630441
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 923,8267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,8267) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,8267) x common factors =1 x 1 = 1
LCM(923,8267) = ( 923 × 8267 ) / 1
LCM(923,8267) = 7630441 / 1
LCM(923,8267) = 7630441
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 8811/923, 5242/8267?
Answer: GCF of Numerators as per given numbers 8811/923, 5242/8267 is
GCF of Numerators i.e. for 8811,5242 is 1
LCM of denominators i.e. for 923,8267 is 7630441.
Thus, GCF of Fractions is 1/7630441.Finally, GCF of Fractions for 8811/923, 5242/8267 is 1/7630441.