GCD of 209, 349, 834, 532 Calculator

Given Input numbers are 209, 349, 834, 532

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Greatest Common Divisior

We found the divisors of 209, 349, 834, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 349, 834, 532 is 1.

Therefore, GCD of numbers 209, 349, 834, 532 is 1

Given Input Data is 209, 349, 834, 532

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 349 is 349

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 532 is 2 x 2 x 7 x 19

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(209, 349) = 72941

GCD(209, 349) = ( 209 x 349 ) / 72941

GCD(209, 349) = 72941 / 72941

GCD(209, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 532

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

LCM(1, 532) = 532

GCD(1, 532) = ( 1 x 532 ) / 532

GCD(1, 532) = 532 / 532

GCD(1, 532) = 1

GCD of 209, 349, 834, 532 is 1

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1. What is the GCD of 209, 349, 834, 532?

GCD of 209, 349, 834, 532 is 1

2. Where do I get the detailed procedure to find GCD of 209, 349, 834, 532?

You can find a detailed procedure to find GCD of 209, 349, 834, 532 on our page.

3. How to find GCD of 209, 349, 834, 532 on a calculator?

You can find the GCD of 209, 349, 834, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.