GCD of 454, 508, 21, 546 Calculator

Given Input numbers are 454, 508, 21, 546

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 454, 508, 21, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 508, 21, 546 is 1.

Therefore, GCD of numbers 454, 508, 21, 546 is 1

Given Input Data is 454, 508, 21, 546

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 21 is 3 x 7

Prime Factorization of 546 is 2 x 3 x 7 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(454, 508) = 115316

GCD(454, 508) = ( 454 x 508 ) / 115316

GCD(454, 508) = 230632 / 115316

GCD(454, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 454, 508, 21, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 517, 49, 619
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• GCD of 175, 790, 50, 835

1. What is the GCD of 454, 508, 21, 546?

GCD of 454, 508, 21, 546 is 1

2. Where do I get the detailed procedure to find GCD of 454, 508, 21, 546?

You can find a detailed procedure to find GCD of 454, 508, 21, 546 on our page.

3. How to find GCD of 454, 508, 21, 546 on a calculator?

You can find the GCD of 454, 508, 21, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.