GCD of 353, 462, 34, 664 Calculator

Given Input numbers are 353, 462, 34, 664

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 353, 462, 34, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 462, 34, 664 is 1.

Therefore, GCD of numbers 353, 462, 34, 664 is 1

Given Input Data is 353, 462, 34, 664

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

Prime Factorization of 353 is 353

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 34 is 2 x 17

Prime Factorization of 664 is 2 x 2 x 2 x 83

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, 462) = 163086

GCD(353, 462) = ( 353 x 462 ) / 163086

GCD(353, 462) = 163086 / 163086

GCD(353, 462) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 353, 462, 34, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 698, 56, 993
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• GCD of 167, 669, 89, 152

1. What is the GCD of 353, 462, 34, 664?

GCD of 353, 462, 34, 664 is 1

2. Where do I get the detailed procedure to find GCD of 353, 462, 34, 664?

You can find a detailed procedure to find GCD of 353, 462, 34, 664 on our page.

3. How to find GCD of 353, 462, 34, 664 on a calculator?

You can find the GCD of 353, 462, 34, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.