GCD of 23, 529, 496, 149 Calculator

Given Input numbers are 23, 529, 496, 149

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 23, 529, 496, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 529, 496, 149 is 1.

Therefore, GCD of numbers 23, 529, 496, 149 is 1

Given Input Data is 23, 529, 496, 149

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

Prime Factorization of 23 is 23

Prime Factorization of 529 is 23 x 23

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 149 is 149

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

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(23, 529) = 529

GCD(23, 529) = ( 23 x 529 ) / 529

GCD(23, 529) = 12167 / 529

GCD(23, 529) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 496

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

LCM(23, 496) = 11408

GCD(23, 496) = ( 23 x 496 ) / 11408

GCD(23, 496) = 11408 / 11408

GCD(23, 496) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 23, 529, 496, 149 is 1

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1. What is the GCD of 23, 529, 496, 149?

GCD of 23, 529, 496, 149 is 1

2. Where do I get the detailed procedure to find GCD of 23, 529, 496, 149?

You can find a detailed procedure to find GCD of 23, 529, 496, 149 on our page.

3. How to find GCD of 23, 529, 496, 149 on a calculator?

You can find the GCD of 23, 529, 496, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.