GCF of 193/879, 243/233
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 193/879, 243/233 i.e 1/204807 easily. The following is the detailed procedure to determine the greatest common factor of fractions 193/879, 243/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 193/879,243/233?
Given fractions are 193/879,243/233
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 193/879,243/233, numerators are 193,243
Denominators are 879,233
The GCF of 193,243 is 1 .
LCM of 879,233 is 204807.
The greatest common factor of 193/879,243/233 = [GCF of 193,243]/[LCM of 879,233]= 1/204807
Therefore, the GCF of 193/879,243/233 is 1/204807.
To find the highest common factor of 193,243, we have to find the factors of both numbers and list the highest common factor.
The factors of 193 are 1, 193
The factors of 243 are 1, 3, 9, 27, 81, 243
The HCF of 193,243 is 1.
Lets's calculate GCF of 193,243
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 193,243 By Matching Biggest Common Factor Method
Now, list down the factors of 193
:1,193
Now, list down the factors of 243
:1,3,9,27,81,243
Greatest Common Factor
We found the factors 193,243 . The biggest common factor number is the GCF number.
So the greatest common factor 193,243 is 1.
Lets's calculate LCM of 879,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 204807
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204807
Therefore, the GCF of Fractions 193/879,243/233 is 1/204807
Least Common Multiple of 879,233 with GCF Formula
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 879,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(879,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(879,233) x common factors =1 x 1 = 1
LCM(879,233) = ( 879 × 233 ) / 1
LCM(879,233) = 204807 / 1
LCM(879,233) = 204807
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FAQs on GCF of Fractions of 193/879, 243/233
1. What is the HCF of 193,243?
The HCF of 193,243 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 193/879, 243/233?
Answer: GCF of Numerators as per given numbers 193/879, 243/233 is
GCF of Numerators i.e. for 193,243 is 1
LCM of denominators i.e. for 879,233 is 204807.
Thus, GCF of Fractions is 1/204807.Finally, GCF of Fractions for 193/879, 243/233 is 1/204807.