GCD of 429, 697, 557, 500 Calculator

Given Input numbers are 429, 697, 557, 500

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

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

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 429, 697, 557, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 697, 557, 500 is 1.

Therefore, GCD of numbers 429, 697, 557, 500 is 1

Given Input Data is 429, 697, 557, 500

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

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 697 is 17 x 41

Prime Factorization of 557 is 557

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(429, 697) = 299013

GCD(429, 697) = ( 429 x 697 ) / 299013

GCD(429, 697) = 299013 / 299013

GCD(429, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 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 429, 697, 557, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 402, 166, 999
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• GCD of 463, 191, 623, 884

1. What is the GCD of 429, 697, 557, 500?

GCD of 429, 697, 557, 500 is 1

2. Where do I get the detailed procedure to find GCD of 429, 697, 557, 500?

You can find a detailed procedure to find GCD of 429, 697, 557, 500 on our page.

3. How to find GCD of 429, 697, 557, 500 on a calculator?

You can find the GCD of 429, 697, 557, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.