GCD of 657, 142, 800, 500 Calculator

Given Input numbers are 657, 142, 800, 500

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

Greatest Common Divisior

We found the divisors of 657, 142, 800, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 142, 800, 500 is 1.

Therefore, GCD of numbers 657, 142, 800, 500 is 1

Given Input Data is 657, 142, 800, 500

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 142 is 2 x 71

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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(657, 142) = 93294

GCD(657, 142) = ( 657 x 142 ) / 93294

GCD(657, 142) = 93294 / 93294

GCD(657, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 657, 142, 800, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 346, 513, 640
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• GCD of 834, 676, 828, 243

1. What is the GCD of 657, 142, 800, 500?

GCD of 657, 142, 800, 500 is 1

2. Where do I get the detailed procedure to find GCD of 657, 142, 800, 500?

You can find a detailed procedure to find GCD of 657, 142, 800, 500 on our page.

3. How to find GCD of 657, 142, 800, 500 on a calculator?

You can find the GCD of 657, 142, 800, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.