GCD of 359, 356, 461, 524 Calculator

Given Input numbers are 359, 356, 461, 524

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 359, 356, 461, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 356, 461, 524 is 1.

Therefore, GCD of numbers 359, 356, 461, 524 is 1

Given Input Data is 359, 356, 461, 524

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

Prime Factorization of 359 is 359

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 461 is 461

Prime Factorization of 524 is 2 x 2 x 131

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(359, 356) = 127804

GCD(359, 356) = ( 359 x 356 ) / 127804

GCD(359, 356) = 127804 / 127804

GCD(359, 356) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 461

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

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

GCD(1, 461) = 461 / 461

GCD(1, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 359, 356, 461, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 642, 115, 638
• GCD of 313, 949, 819, 724
• GCD of 521, 702, 511, 195
• GCD of 592, 205, 646, 358
• GCD of 337, 174, 494, 145

1. What is the GCD of 359, 356, 461, 524?

GCD of 359, 356, 461, 524 is 1

2. Where do I get the detailed procedure to find GCD of 359, 356, 461, 524?

You can find a detailed procedure to find GCD of 359, 356, 461, 524 on our page.

3. How to find GCD of 359, 356, 461, 524 on a calculator?

You can find the GCD of 359, 356, 461, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.