GCD of 69, 529, 574, 361 Calculator

Given Input numbers are 69, 529, 574, 361

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 529

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

1, 23, 529

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 69, 529, 574, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 529, 574, 361 is 1.

Therefore, GCD of numbers 69, 529, 574, 361 is 1

Given Input Data is 69, 529, 574, 361

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 529 is 23 x 23

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 361 is 19 x 19

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(69, 529) = 1587

GCD(69, 529) = ( 69 x 529 ) / 1587

GCD(69, 529) = 36501 / 1587

GCD(69, 529) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 574

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

LCM(23, 574) = 13202

GCD(23, 574) = ( 23 x 574 ) / 13202

GCD(23, 574) = 13202 / 13202

GCD(23, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 69, 529, 574, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 512, 965, 602
• GCD of 30, 863, 226, 453
• GCD of 26, 500, 736, 625
• GCD of 40, 937, 134, 210
• GCD of 87, 965, 754, 231

1. What is the GCD of 69, 529, 574, 361?

GCD of 69, 529, 574, 361 is 1

2. Where do I get the detailed procedure to find GCD of 69, 529, 574, 361?

You can find a detailed procedure to find GCD of 69, 529, 574, 361 on our page.

3. How to find GCD of 69, 529, 574, 361 on a calculator?

You can find the GCD of 69, 529, 574, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.