GCD of 58, 971, 249, 300 Calculator

Given Input numbers are 58, 971, 249, 300

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 58, 971, 249, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 971, 249, 300 is 1.

Therefore, GCD of numbers 58, 971, 249, 300 is 1

Given Input Data is 58, 971, 249, 300

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 971 is 971

Prime Factorization of 249 is 3 x 83

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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, 971) = 56318

GCD(58, 971) = ( 58 x 971 ) / 56318

GCD(58, 971) = 56318 / 56318

GCD(58, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 249

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

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

GCD(1, 249) = 249 / 249

GCD(1, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 58, 971, 249, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 236, 869, 131
• GCD of 20, 793, 170, 179
• GCD of 30, 341, 686, 709
• GCD of 22, 113, 437, 372
• GCD of 59, 575, 351, 884

1. What is the GCD of 58, 971, 249, 300?

GCD of 58, 971, 249, 300 is 1

2. Where do I get the detailed procedure to find GCD of 58, 971, 249, 300?

You can find a detailed procedure to find GCD of 58, 971, 249, 300 on our page.

3. How to find GCD of 58, 971, 249, 300 on a calculator?

You can find the GCD of 58, 971, 249, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.