GCD of 689, 334, 146, 279 Calculator

Given Input numbers are 689, 334, 146, 279

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 689, 334, 146, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 334, 146, 279 is 1.

Therefore, GCD of numbers 689, 334, 146, 279 is 1

Given Input Data is 689, 334, 146, 279

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 334 is 2 x 167

Prime Factorization of 146 is 2 x 73

Prime Factorization of 279 is 3 x 3 x 31

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, 334) = 230126

GCD(689, 334) = ( 689 x 334 ) / 230126

GCD(689, 334) = 230126 / 230126

GCD(689, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 689, 334, 146, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 273, 239, 483
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• GCD of 184, 408, 273, 935

1. What is the GCD of 689, 334, 146, 279?

GCD of 689, 334, 146, 279 is 1

2. Where do I get the detailed procedure to find GCD of 689, 334, 146, 279?

You can find a detailed procedure to find GCD of 689, 334, 146, 279 on our page.

3. How to find GCD of 689, 334, 146, 279 on a calculator?

You can find the GCD of 689, 334, 146, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.