GCD of 484, 743, 354, 405 Calculator

Given Input numbers are 484, 743, 354, 405

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 484, 743, 354, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 743, 354, 405 is 1.

Therefore, GCD of numbers 484, 743, 354, 405 is 1

Given Input Data is 484, 743, 354, 405

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 743 is 743

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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(484, 743) = 359612

GCD(484, 743) = ( 484 x 743 ) / 359612

GCD(484, 743) = 359612 / 359612

GCD(484, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 484, 743, 354, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 179, 436, 227, 172
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• GCD of 238, 660, 498, 228
• GCD of 146, 796, 409, 508
• GCD of 291, 681, 343, 195

1. What is the GCD of 484, 743, 354, 405?

GCD of 484, 743, 354, 405 is 1

2. Where do I get the detailed procedure to find GCD of 484, 743, 354, 405?

You can find a detailed procedure to find GCD of 484, 743, 354, 405 on our page.

3. How to find GCD of 484, 743, 354, 405 on a calculator?

You can find the GCD of 484, 743, 354, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.