GCD of 469, 923, 16 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 469, 923, 16 i.e. 1 largest integer that divides all the numbers equally.

GCD of 469, 923, 16 is 1

GCD(469, 923, 16) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 469, 923, 16 is 1

GCD(469, 923, 16) = 1

GCD of 469,923,16 Calculator

GCDof 469,923,16 is 1

Given Input numbers are 469, 923, 16

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 469, 923, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 923, 16 is 1.

Therefore, GCD of numbers 469, 923, 16 is 1

Finding GCD of 469, 923, 16 using Prime Factorization

Given Input Data is 469, 923, 16

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 469 is 7 x 67

Prime Factorization of 923 is 13 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 469, 923, 16 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(469, 923) = 432887

GCD(469, 923) = ( 469 x 923 ) / 432887

GCD(469, 923) = 432887 / 432887

GCD(469, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 469, 923, 16 is 1

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FAQs on GCD of numbers 469, 923, 16

1. What is the GCD of 469, 923, 16?

GCD of 469, 923, 16 is 1

2. Where do I get the detailed procedure to find GCD of 469, 923, 16?

You can find a detailed procedure to find GCD of 469, 923, 16 on our page.

3. How to find GCD of 469, 923, 16 on a calculator?

You can find the GCD of 469, 923, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.