GCD of 689, 600, 29, 336 Calculator

Given Input numbers are 689, 600, 29, 336

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Greatest Common Divisior

We found the divisors of 689, 600, 29, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 600, 29, 336 is 1.

Therefore, GCD of numbers 689, 600, 29, 336 is 1

Given Input Data is 689, 600, 29, 336

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 29 is 29

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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(689, 600) = 413400

GCD(689, 600) = ( 689 x 600 ) / 413400

GCD(689, 600) = 413400 / 413400

GCD(689, 600) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 336

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

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

GCD(1, 336) = 336 / 336

GCD(1, 336) = 1

GCD of 689, 600, 29, 336 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 797, 52, 863
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• GCD of 127, 665, 99, 388
• GCD of 504, 482, 53, 408
• GCD of 678, 118, 91, 380

1. What is the GCD of 689, 600, 29, 336?

GCD of 689, 600, 29, 336 is 1

2. Where do I get the detailed procedure to find GCD of 689, 600, 29, 336?

You can find a detailed procedure to find GCD of 689, 600, 29, 336 on our page.

3. How to find GCD of 689, 600, 29, 336 on a calculator?

You can find the GCD of 689, 600, 29, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.