GCD of 356, 262, 319, 689 Calculator

Given Input numbers are 356, 262, 319, 689

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

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 356, 262, 319, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 262, 319, 689 is 1.

Therefore, GCD of numbers 356, 262, 319, 689 is 1

Given Input Data is 356, 262, 319, 689

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 262 is 2 x 131

Prime Factorization of 319 is 11 x 29

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(356, 262) = 46636

GCD(356, 262) = ( 356 x 262 ) / 46636

GCD(356, 262) = 93272 / 46636

GCD(356, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 319

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

LCM(2, 319) = 638

GCD(2, 319) = ( 2 x 319 ) / 638

GCD(2, 319) = 638 / 638

GCD(2, 319) = 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 356, 262, 319, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 131, 902, 956
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1. What is the GCD of 356, 262, 319, 689?

GCD of 356, 262, 319, 689 is 1

2. Where do I get the detailed procedure to find GCD of 356, 262, 319, 689?

You can find a detailed procedure to find GCD of 356, 262, 319, 689 on our page.

3. How to find GCD of 356, 262, 319, 689 on a calculator?

You can find the GCD of 356, 262, 319, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.