GCD of 458, 169, 342, 676 Calculator

Given Input numbers are 458, 169, 342, 676

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 458, 169, 342, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 169, 342, 676 is 1.

Therefore, GCD of numbers 458, 169, 342, 676 is 1

Given Input Data is 458, 169, 342, 676

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

Prime Factorization of 458 is 2 x 229

Prime Factorization of 169 is 13 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(458, 169) = 77402

GCD(458, 169) = ( 458 x 169 ) / 77402

GCD(458, 169) = 77402 / 77402

GCD(458, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 458, 169, 342, 676 is 1

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1. What is the GCD of 458, 169, 342, 676?

GCD of 458, 169, 342, 676 is 1

2. Where do I get the detailed procedure to find GCD of 458, 169, 342, 676?

You can find a detailed procedure to find GCD of 458, 169, 342, 676 on our page.

3. How to find GCD of 458, 169, 342, 676 on a calculator?

You can find the GCD of 458, 169, 342, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.