GCD of 696, 357, 172, 499 Calculator

Given Input numbers are 696, 357, 172, 499

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Greatest Common Divisior

We found the divisors of 696, 357, 172, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 357, 172, 499 is 1.

Therefore, GCD of numbers 696, 357, 172, 499 is 1

Given Input Data is 696, 357, 172, 499

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 499 is 499

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(696, 357) = 82824

GCD(696, 357) = ( 696 x 357 ) / 82824

GCD(696, 357) = 248472 / 82824

GCD(696, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 696, 357, 172, 499 is 1

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• GCD of 900, 780, 624, 866
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1. What is the GCD of 696, 357, 172, 499?

GCD of 696, 357, 172, 499 is 1

2. Where do I get the detailed procedure to find GCD of 696, 357, 172, 499?

You can find a detailed procedure to find GCD of 696, 357, 172, 499 on our page.

3. How to find GCD of 696, 357, 172, 499 on a calculator?

You can find the GCD of 696, 357, 172, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.