GCD of 58, 959, 657, 542 Calculator

Given Input numbers are 58, 959, 657, 542

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 959

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

1, 7, 137, 959

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 58, 959, 657, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 959, 657, 542 is 1.

Therefore, GCD of numbers 58, 959, 657, 542 is 1

Given Input Data is 58, 959, 657, 542

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 959 is 7 x 137

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 542 is 2 x 271

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(58, 959) = 55622

GCD(58, 959) = ( 58 x 959 ) / 55622

GCD(58, 959) = 55622 / 55622

GCD(58, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 58, 959, 657, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 259, 318, 532
• GCD of 11, 301, 789, 222
• GCD of 37, 133, 541, 387
• GCD of 21, 568, 460, 459
• GCD of 97, 692, 417, 578

1. What is the GCD of 58, 959, 657, 542?

GCD of 58, 959, 657, 542 is 1

2. Where do I get the detailed procedure to find GCD of 58, 959, 657, 542?

You can find a detailed procedure to find GCD of 58, 959, 657, 542 on our page.

3. How to find GCD of 58, 959, 657, 542 on a calculator?

You can find the GCD of 58, 959, 657, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.