GCF of 99/58, 17/479, 512/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 99/58, 17/479, 512/427 i.e 1/11862914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/58, 17/479, 512/427.
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 99/58,17/479,512/427?
Given fractions are 99/58,17/479,512/427
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 99/58,17/479,512/427, numerators are 99,17,512
Denominators are 58,479,427
The GCF of 99,17,512 is 1 .
LCM of 58,479,427 is 11862914.
The greatest common factor of 99/58,17/479,512/427 = [GCF of 99,17,512]/[LCM of 58,479,427]= 1/11862914
Therefore, the GCF of 99/58,17/479,512/427 is 1/11862914.
To find the highest common factor of 99,17,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 17 are 1, 17
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 99,17,512 is 1.
Lets's calculate GCF of 99,17,512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 99,17,512 By Matching Biggest Common Factor Method
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 17
:1,17
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 99,17,512 . The biggest common factor number is the GCF number.
So the greatest common factor 99,17,512 is 1.
Lets's calculate LCM of 58,479,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 11862914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11862914
Therefore, the GCF of Fractions 99/58,17/479,512/427 is 1/11862914
Least Common Multiple of 58,479,427 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 58,479,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,479,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,479,427) x common factors =1 x 1 = 1
LCM(58,479,427) = ( 58 × 479 × 427 ) / 1
LCM(58,479,427) = 11862914 / 1
LCM(58,479,427) = 11862914
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 99/58, 17/479, 512/427
1. What is the HCF of 99,17,512?
The HCF of 99,17,512 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 99/58, 17/479, 512/427?
Answer: GCF of Numerators as per given numbers 99/58, 17/479, 512/427 is
GCF of Numerators i.e. for 99,17,512 is 1
LCM of denominators i.e. for 58,479,427 is 11862914.
Thus, GCF of Fractions is 1/11862914.Finally, GCF of Fractions for 99/58, 17/479, 512/427 is 1/11862914.