GCD of 369, 262, 353, 628 Calculator

Given Input numbers are 369, 262, 353, 628

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 369, 262, 353, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 262, 353, 628 is 1.

Therefore, GCD of numbers 369, 262, 353, 628 is 1

Given Input Data is 369, 262, 353, 628

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 262 is 2 x 131

Prime Factorization of 353 is 353

Prime Factorization of 628 is 2 x 2 x 157

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(369, 262) = 96678

GCD(369, 262) = ( 369 x 262 ) / 96678

GCD(369, 262) = 96678 / 96678

GCD(369, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 369, 262, 353, 628 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 839, 355, 884
• GCD of 363, 942, 144, 303
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• GCD of 840, 132, 253, 785
• GCD of 580, 699, 785, 693

1. What is the GCD of 369, 262, 353, 628?

GCD of 369, 262, 353, 628 is 1

2. Where do I get the detailed procedure to find GCD of 369, 262, 353, 628?

You can find a detailed procedure to find GCD of 369, 262, 353, 628 on our page.

3. How to find GCD of 369, 262, 353, 628 on a calculator?

You can find the GCD of 369, 262, 353, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.