GCD of 690, 168, 69, 845 Calculator

Given Input numbers are 690, 168, 69, 845

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 690, 168, 69, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 168, 69, 845 is 1.

Therefore, GCD of numbers 690, 168, 69, 845 is 1

Given Input Data is 690, 168, 69, 845

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 845 is 5 x 13 x 13

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(690, 168) = 19320

GCD(690, 168) = ( 690 x 168 ) / 19320

GCD(690, 168) = 115920 / 19320

GCD(690, 168) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 69

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

LCM(6, 69) = 138

GCD(6, 69) = ( 6 x 69 ) / 138

GCD(6, 69) = 414 / 138

GCD(6, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 845

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

LCM(3, 845) = 2535

GCD(3, 845) = ( 3 x 845 ) / 2535

GCD(3, 845) = 2535 / 2535

GCD(3, 845) = 1

GCD of 690, 168, 69, 845 is 1

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• GCD of 492, 950, 42, 732
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• GCD of 576, 869, 89, 853

1. What is the GCD of 690, 168, 69, 845?

GCD of 690, 168, 69, 845 is 1

2. Where do I get the detailed procedure to find GCD of 690, 168, 69, 845?

You can find a detailed procedure to find GCD of 690, 168, 69, 845 on our page.

3. How to find GCD of 690, 168, 69, 845 on a calculator?

You can find the GCD of 690, 168, 69, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.