GCD of 500, 973, 772, 674 Calculator

Given Input numbers are 500, 973, 772, 674

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

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 973

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

1, 7, 139, 973

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 500, 973, 772, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 973, 772, 674 is 1.

Therefore, GCD of numbers 500, 973, 772, 674 is 1

Given Input Data is 500, 973, 772, 674

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

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 674 is 2 x 337

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(500, 973) = 486500

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

GCD(500, 973) = 486500 / 486500

GCD(500, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 500, 973, 772, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 439, 424, 144
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• GCD of 669, 469, 308, 131
• GCD of 132, 397, 999, 451

1. What is the GCD of 500, 973, 772, 674?

GCD of 500, 973, 772, 674 is 1

2. Where do I get the detailed procedure to find GCD of 500, 973, 772, 674?

You can find a detailed procedure to find GCD of 500, 973, 772, 674 on our page.

3. How to find GCD of 500, 973, 772, 674 on a calculator?

You can find the GCD of 500, 973, 772, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.