GCD of 959, 309, 17, 546 Calculator

Given Input numbers are 959, 309, 17, 546

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

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 959, 309, 17, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 309, 17, 546 is 1.

Therefore, GCD of numbers 959, 309, 17, 546 is 1

Given Input Data is 959, 309, 17, 546

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

Prime Factorization of 959 is 7 x 137

Prime Factorization of 309 is 3 x 103

Prime Factorization of 17 is 17

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

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(959, 309) = 296331

GCD(959, 309) = ( 959 x 309 ) / 296331

GCD(959, 309) = 296331 / 296331

GCD(959, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 959, 309, 17, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 132, 19, 938
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• GCD of 550, 216, 26, 602
• GCD of 270, 699, 89, 706
• GCD of 118, 838, 64, 148

1. What is the GCD of 959, 309, 17, 546?

GCD of 959, 309, 17, 546 is 1

2. Where do I get the detailed procedure to find GCD of 959, 309, 17, 546?

You can find a detailed procedure to find GCD of 959, 309, 17, 546 on our page.

3. How to find GCD of 959, 309, 17, 546 on a calculator?

You can find the GCD of 959, 309, 17, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.