GCD of 500, 370, 797, 870 Calculator

Given Input numbers are 500, 370, 797, 870

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 500, 370, 797, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 370, 797, 870 is 1.

Therefore, GCD of numbers 500, 370, 797, 870 is 1

Given Input Data is 500, 370, 797, 870

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 370 is 2 x 5 x 37

Prime Factorization of 797 is 797

Prime Factorization of 870 is 2 x 3 x 5 x 29

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, 370) = 18500

GCD(500, 370) = ( 500 x 370 ) / 18500

GCD(500, 370) = 185000 / 18500

GCD(500, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 797

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

LCM(10, 797) = 7970

GCD(10, 797) = ( 10 x 797 ) / 7970

GCD(10, 797) = 7970 / 7970

GCD(10, 797) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 500, 370, 797, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 225, 997, 184
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• GCD of 795, 142, 869, 446
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• GCD of 744, 621, 803, 893

1. What is the GCD of 500, 370, 797, 870?

GCD of 500, 370, 797, 870 is 1

2. Where do I get the detailed procedure to find GCD of 500, 370, 797, 870?

You can find a detailed procedure to find GCD of 500, 370, 797, 870 on our page.

3. How to find GCD of 500, 370, 797, 870 on a calculator?

You can find the GCD of 500, 370, 797, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.