GCD of 182, 576, 59, 349 Calculator

Given Input numbers are 182, 576, 59, 349

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 182, 576, 59, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 576, 59, 349 is 1.

Therefore, GCD of numbers 182, 576, 59, 349 is 1

Given Input Data is 182, 576, 59, 349

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 59 is 59

Prime Factorization of 349 is 349

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(182, 576) = 52416

GCD(182, 576) = ( 182 x 576 ) / 52416

GCD(182, 576) = 104832 / 52416

GCD(182, 576) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 182, 576, 59, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 917, 99, 164
• GCD of 740, 990, 36, 337
• GCD of 302, 449, 55, 650
• GCD of 382, 117, 97, 375
• GCD of 260, 247, 43, 722

1. What is the GCD of 182, 576, 59, 349?

GCD of 182, 576, 59, 349 is 1

2. Where do I get the detailed procedure to find GCD of 182, 576, 59, 349?

You can find a detailed procedure to find GCD of 182, 576, 59, 349 on our page.

3. How to find GCD of 182, 576, 59, 349 on a calculator?

You can find the GCD of 182, 576, 59, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.