GCD of 546, 487, 72, 269 Calculator

Given Input numbers are 546, 487, 72, 269

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 546, 487, 72, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 487, 72, 269 is 1.

Therefore, GCD of numbers 546, 487, 72, 269 is 1

Given Input Data is 546, 487, 72, 269

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 487 is 487

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 269 is 269

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(546, 487) = 265902

GCD(546, 487) = ( 546 x 487 ) / 265902

GCD(546, 487) = 265902 / 265902

GCD(546, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 546, 487, 72, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 130, 67, 705
• GCD of 515, 998, 74, 758
• GCD of 510, 720, 74, 151
• GCD of 221, 193, 11, 494
• GCD of 971, 351, 77, 586

1. What is the GCD of 546, 487, 72, 269?

GCD of 546, 487, 72, 269 is 1

2. Where do I get the detailed procedure to find GCD of 546, 487, 72, 269?

You can find a detailed procedure to find GCD of 546, 487, 72, 269 on our page.

3. How to find GCD of 546, 487, 72, 269 on a calculator?

You can find the GCD of 546, 487, 72, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.