Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9173/69,8373/413
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 9173,8373
Greatest Common Factor of Numerators i.e. GCF of 9173,8373 is 1 .
LCM of Denominators means LCM of 69,413 as per the given fractions.
LCM of 69,413 is 28497 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9173,8373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9173
List of positive integer factors of 9173 that divides 9173 without a remainder.
1,9173
Factors of 8373
List of positive integer factors of 8373 that divides 8373 without a remainder.
1,3,2791,8373
Greatest Common Factor
We found the factors 9173,8373 . The biggest common factor number is the GCF number.
So the greatest common factor 9173,8373 is 1.
Lets's calculate LCM of 69,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 28497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28497
Therefore, the GCF of Fractions 9173/69,8373/413 is 1/28497
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 69,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,413) x common factors =1 x 1 = 1
LCM(69,413) = ( 69 × 413 ) / 1
LCM(69,413) = 28497 / 1
LCM(69,413) = 28497
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 9173/69, 8373/413?
Answer: GCF of Numerators as per given numbers 9173/69, 8373/413 is
GCF of Numerators i.e. for 9173,8373 is 1
LCM of denominators i.e. for 69,413 is 28497.
Thus, GCF of Fractions is 1/28497.Finally, GCF of Fractions for 9173/69, 8373/413 is 1/28497.