GCD of 268, 549, 420, 363 Calculator

Given Input numbers are 268, 549, 420, 363

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 268, 549, 420, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 549, 420, 363 is 1.

Therefore, GCD of numbers 268, 549, 420, 363 is 1

Given Input Data is 268, 549, 420, 363

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

Prime Factorization of 268 is 2 x 2 x 67

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 363 is 3 x 11 x 11

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(268, 549) = 147132

GCD(268, 549) = ( 268 x 549 ) / 147132

GCD(268, 549) = 147132 / 147132

GCD(268, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 268, 549, 420, 363 is 1

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1. What is the GCD of 268, 549, 420, 363?

GCD of 268, 549, 420, 363 is 1

2. Where do I get the detailed procedure to find GCD of 268, 549, 420, 363?

You can find a detailed procedure to find GCD of 268, 549, 420, 363 on our page.

3. How to find GCD of 268, 549, 420, 363 on a calculator?

You can find the GCD of 268, 549, 420, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.