GCD of 221, 403, 359, 752 Calculator

Given Input numbers are 221, 403, 359, 752

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 359

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

1, 359

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 221, 403, 359, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 403, 359, 752 is 1.

Therefore, GCD of numbers 221, 403, 359, 752 is 1

Given Input Data is 221, 403, 359, 752

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 403 is 13 x 31

Prime Factorization of 359 is 359

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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(221, 403) = 6851

GCD(221, 403) = ( 221 x 403 ) / 6851

GCD(221, 403) = 89063 / 6851

GCD(221, 403) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 359

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

LCM(13, 359) = 4667

GCD(13, 359) = ( 13 x 359 ) / 4667

GCD(13, 359) = 4667 / 4667

GCD(13, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 221, 403, 359, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 985, 820, 619
• GCD of 268, 530, 492, 310
• GCD of 880, 727, 796, 918
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• GCD of 205, 854, 234, 230

1. What is the GCD of 221, 403, 359, 752?

GCD of 221, 403, 359, 752 is 1

2. Where do I get the detailed procedure to find GCD of 221, 403, 359, 752?

You can find a detailed procedure to find GCD of 221, 403, 359, 752 on our page.

3. How to find GCD of 221, 403, 359, 752 on a calculator?

You can find the GCD of 221, 403, 359, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.