GCD of 353, 423, 354, 533 Calculator

Given Input numbers are 353, 423, 354, 533

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

Divisors of 353

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

1, 353

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

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 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 353, 423, 354, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 423, 354, 533 is 1.

Therefore, GCD of numbers 353, 423, 354, 533 is 1

Given Input Data is 353, 423, 354, 533

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

Prime Factorization of 353 is 353

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 533 is 13 x 41

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(353, 423) = 149319

GCD(353, 423) = ( 353 x 423 ) / 149319

GCD(353, 423) = 149319 / 149319

GCD(353, 423) = 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 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 353, 423, 354, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 490, 930, 796
• GCD of 346, 202, 131, 600
• GCD of 954, 364, 300, 792
• GCD of 305, 233, 596, 571
• GCD of 421, 565, 983, 906

1. What is the GCD of 353, 423, 354, 533?

GCD of 353, 423, 354, 533 is 1

2. Where do I get the detailed procedure to find GCD of 353, 423, 354, 533?

You can find a detailed procedure to find GCD of 353, 423, 354, 533 on our page.

3. How to find GCD of 353, 423, 354, 533 on a calculator?

You can find the GCD of 353, 423, 354, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.