GCD of 500, 188, 359, 942 Calculator

Given Input numbers are 500, 188, 359, 942

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 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 500, 188, 359, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 188, 359, 942 is 1.

Therefore, GCD of numbers 500, 188, 359, 942 is 1

Given Input Data is 500, 188, 359, 942

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 188 is 2 x 2 x 47

Prime Factorization of 359 is 359

Prime Factorization of 942 is 2 x 3 x 157

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, 188) = 23500

GCD(500, 188) = ( 500 x 188 ) / 23500

GCD(500, 188) = 94000 / 23500

GCD(500, 188) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 359

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

LCM(4, 359) = 1436

GCD(4, 359) = ( 4 x 359 ) / 1436

GCD(4, 359) = 1436 / 1436

GCD(4, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 500, 188, 359, 942 is 1

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• GCD of 550, 641, 509, 216
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1. What is the GCD of 500, 188, 359, 942?

GCD of 500, 188, 359, 942 is 1

2. Where do I get the detailed procedure to find GCD of 500, 188, 359, 942?

You can find a detailed procedure to find GCD of 500, 188, 359, 942 on our page.

3. How to find GCD of 500, 188, 359, 942 on a calculator?

You can find the GCD of 500, 188, 359, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.