GCD of 973, 500, 79, 355 Calculator

Given Input numbers are 973, 500, 79, 355

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 973, 500, 79, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 500, 79, 355 is 1.

Therefore, GCD of numbers 973, 500, 79, 355 is 1

Given Input Data is 973, 500, 79, 355

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 79 is 79

Prime Factorization of 355 is 5 x 71

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(973, 500) = 486500

GCD(973, 500) = ( 973 x 500 ) / 486500

GCD(973, 500) = 486500 / 486500

GCD(973, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 973, 500, 79, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 501, 32, 438
• GCD of 992, 133, 73, 975
• GCD of 383, 816, 43, 849
• GCD of 319, 801, 55, 312
• GCD of 967, 710, 71, 184

1. What is the GCD of 973, 500, 79, 355?

GCD of 973, 500, 79, 355 is 1

2. Where do I get the detailed procedure to find GCD of 973, 500, 79, 355?

You can find a detailed procedure to find GCD of 973, 500, 79, 355 on our page.

3. How to find GCD of 973, 500, 79, 355 on a calculator?

You can find the GCD of 973, 500, 79, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.