GCD of 650, 493, 31, 188 Calculator

Given Input numbers are 650, 493, 31, 188

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 188

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

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 650, 493, 31, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 493, 31, 188 is 1.

Therefore, GCD of numbers 650, 493, 31, 188 is 1

Given Input Data is 650, 493, 31, 188

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 493 is 17 x 29

Prime Factorization of 31 is 31

Prime Factorization of 188 is 2 x 2 x 47

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(650, 493) = 320450

GCD(650, 493) = ( 650 x 493 ) / 320450

GCD(650, 493) = 320450 / 320450

GCD(650, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 650, 493, 31, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 809, 55, 906
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• GCD of 480, 161, 63, 562
• GCD of 724, 906, 13, 674
• GCD of 278, 541, 98, 720

1. What is the GCD of 650, 493, 31, 188?

GCD of 650, 493, 31, 188 is 1

2. Where do I get the detailed procedure to find GCD of 650, 493, 31, 188?

You can find a detailed procedure to find GCD of 650, 493, 31, 188 on our page.

3. How to find GCD of 650, 493, 31, 188 on a calculator?

You can find the GCD of 650, 493, 31, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.