GCD of 460, 361, 833, 538 Calculator

Given Input numbers are 460, 361, 833, 538

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 361

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

1, 19, 361

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 460, 361, 833, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 361, 833, 538 is 1.

Therefore, GCD of numbers 460, 361, 833, 538 is 1

Given Input Data is 460, 361, 833, 538

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 361 is 19 x 19

Prime Factorization of 833 is 7 x 7 x 17

Prime Factorization of 538 is 2 x 269

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(460, 361) = 166060

GCD(460, 361) = ( 460 x 361 ) / 166060

GCD(460, 361) = 166060 / 166060

GCD(460, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 833

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

LCM(1, 833) = 833

GCD(1, 833) = ( 1 x 833 ) / 833

GCD(1, 833) = 833 / 833

GCD(1, 833) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 460, 361, 833, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 498, 780, 170
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• GCD of 580, 501, 933, 112
• GCD of 434, 906, 116, 997

1. What is the GCD of 460, 361, 833, 538?

GCD of 460, 361, 833, 538 is 1

2. Where do I get the detailed procedure to find GCD of 460, 361, 833, 538?

You can find a detailed procedure to find GCD of 460, 361, 833, 538 on our page.

3. How to find GCD of 460, 361, 833, 538 on a calculator?

You can find the GCD of 460, 361, 833, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.