GCD of 549, 420, 843, 420 Calculator

Given Input numbers are 549, 420, 843, 420

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

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 549, 420, 843, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 420, 843, 420 is 3.

Therefore, GCD of numbers 549, 420, 843, 420 is 3

Given Input Data is 549, 420, 843, 420

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 843 is 3 x 281

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(549, 420) = 76860

GCD(549, 420) = ( 549 x 420 ) / 76860

GCD(549, 420) = 230580 / 76860

GCD(549, 420) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 843

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

LCM(3, 843) = 843

GCD(3, 843) = ( 3 x 843 ) / 843

GCD(3, 843) = 2529 / 843

GCD(3, 843) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 420

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

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

GCD(3, 420) = 1260 / 420

GCD(3, 420) = 3

GCD of 549, 420, 843, 420 is 3

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1. What is the GCD of 549, 420, 843, 420?

GCD of 549, 420, 843, 420 is 3

2. Where do I get the detailed procedure to find GCD of 549, 420, 843, 420?

You can find a detailed procedure to find GCD of 549, 420, 843, 420 on our page.

3. How to find GCD of 549, 420, 843, 420 on a calculator?

You can find the GCD of 549, 420, 843, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.