GCD of 235, 692, 47, 689 Calculator

Given Input numbers are 235, 692, 47, 689

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

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 689

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

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 235, 692, 47, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 235, 692, 47, 689 is 1.

Therefore, GCD of numbers 235, 692, 47, 689 is 1

Given Input Data is 235, 692, 47, 689

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 47 is 47

Prime Factorization of 689 is 13 x 53

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(235, 692) = 162620

GCD(235, 692) = ( 235 x 692 ) / 162620

GCD(235, 692) = 162620 / 162620

GCD(235, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 235, 692, 47, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 401, 80, 567
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• GCD of 328, 178, 26, 484
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• GCD of 890, 614, 84, 141

1. What is the GCD of 235, 692, 47, 689?

GCD of 235, 692, 47, 689 is 1

2. Where do I get the detailed procedure to find GCD of 235, 692, 47, 689?

You can find a detailed procedure to find GCD of 235, 692, 47, 689 on our page.

3. How to find GCD of 235, 692, 47, 689 on a calculator?

You can find the GCD of 235, 692, 47, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.