GCD of 544, 958, 339, 829 Calculator

Given Input numbers are 544, 958, 339, 829

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 544, 958, 339, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 958, 339, 829 is 1.

Therefore, GCD of numbers 544, 958, 339, 829 is 1

Given Input Data is 544, 958, 339, 829

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

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 958 is 2 x 479

Prime Factorization of 339 is 3 x 113

Prime Factorization of 829 is 829

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(544, 958) = 260576

GCD(544, 958) = ( 544 x 958 ) / 260576

GCD(544, 958) = 521152 / 260576

GCD(544, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 339

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

LCM(2, 339) = 678

GCD(2, 339) = ( 2 x 339 ) / 678

GCD(2, 339) = 678 / 678

GCD(2, 339) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 544, 958, 339, 829 is 1

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1. What is the GCD of 544, 958, 339, 829?

GCD of 544, 958, 339, 829 is 1

2. Where do I get the detailed procedure to find GCD of 544, 958, 339, 829?

You can find a detailed procedure to find GCD of 544, 958, 339, 829 on our page.

3. How to find GCD of 544, 958, 339, 829 on a calculator?

You can find the GCD of 544, 958, 339, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.