GCD of 546, 453, 84, 507 Calculator

Given Input numbers are 546, 453, 84, 507

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

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 546, 453, 84, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 453, 84, 507 is 3.

Therefore, GCD of numbers 546, 453, 84, 507 is 3

Given Input Data is 546, 453, 84, 507

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 453 is 3 x 151

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 507 is 3 x 13 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(546, 453) = 82446

GCD(546, 453) = ( 546 x 453 ) / 82446

GCD(546, 453) = 247338 / 82446

GCD(546, 453) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

GCD of 546, 453, 84, 507 is 3

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• GCD of 416, 716, 44, 775
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• GCD of 663, 851, 60, 533

1. What is the GCD of 546, 453, 84, 507?

GCD of 546, 453, 84, 507 is 3

2. Where do I get the detailed procedure to find GCD of 546, 453, 84, 507?

You can find a detailed procedure to find GCD of 546, 453, 84, 507 on our page.

3. How to find GCD of 546, 453, 84, 507 on a calculator?

You can find the GCD of 546, 453, 84, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.