GCD of 429, 825, 269, 181 Calculator

Given Input numbers are 429, 825, 269, 181

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 429, 825, 269, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 825, 269, 181 is 1.

Therefore, GCD of numbers 429, 825, 269, 181 is 1

Given Input Data is 429, 825, 269, 181

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 269 is 269

Prime Factorization of 181 is 181

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(429, 825) = 10725

GCD(429, 825) = ( 429 x 825 ) / 10725

GCD(429, 825) = 353925 / 10725

GCD(429, 825) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 269

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

LCM(33, 269) = 8877

GCD(33, 269) = ( 33 x 269 ) / 8877

GCD(33, 269) = 8877 / 8877

GCD(33, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 429, 825, 269, 181 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 431, 335, 366
• GCD of 150, 474, 158, 306
• GCD of 672, 324, 318, 532
• GCD of 429, 507, 671, 105
• GCD of 119, 398, 686, 758

1. What is the GCD of 429, 825, 269, 181?

GCD of 429, 825, 269, 181 is 1

2. Where do I get the detailed procedure to find GCD of 429, 825, 269, 181?

You can find a detailed procedure to find GCD of 429, 825, 269, 181 on our page.

3. How to find GCD of 429, 825, 269, 181 on a calculator?

You can find the GCD of 429, 825, 269, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.