GCD of 267, 546, 59, 257 Calculator

Given Input numbers are 267, 546, 59, 257

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 267, 546, 59, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 546, 59, 257 is 1.

Therefore, GCD of numbers 267, 546, 59, 257 is 1

Given Input Data is 267, 546, 59, 257

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

Prime Factorization of 267 is 3 x 89

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

Prime Factorization of 59 is 59

Prime Factorization of 257 is 257

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(267, 546) = 48594

GCD(267, 546) = ( 267 x 546 ) / 48594

GCD(267, 546) = 145782 / 48594

GCD(267, 546) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 267, 546, 59, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 454, 39, 905
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• GCD of 468, 189, 31, 853
• GCD of 626, 450, 68, 173
• GCD of 660, 357, 76, 675

1. What is the GCD of 267, 546, 59, 257?

GCD of 267, 546, 59, 257 is 1

2. Where do I get the detailed procedure to find GCD of 267, 546, 59, 257?

You can find a detailed procedure to find GCD of 267, 546, 59, 257 on our page.

3. How to find GCD of 267, 546, 59, 257 on a calculator?

You can find the GCD of 267, 546, 59, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.