GCD of 932, 590, 736, 209 Calculator

Given Input numbers are 932, 590, 736, 209

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 209

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

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 932, 590, 736, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 590, 736, 209 is 1.

Therefore, GCD of numbers 932, 590, 736, 209 is 1

Given Input Data is 932, 590, 736, 209

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 209 is 11 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(932, 590) = 274940

GCD(932, 590) = ( 932 x 590 ) / 274940

GCD(932, 590) = 549880 / 274940

GCD(932, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 736

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

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

GCD(2, 736) = 1472 / 736

GCD(2, 736) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 932, 590, 736, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 825, 269, 211
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1. What is the GCD of 932, 590, 736, 209?

GCD of 932, 590, 736, 209 is 1

2. Where do I get the detailed procedure to find GCD of 932, 590, 736, 209?

You can find a detailed procedure to find GCD of 932, 590, 736, 209 on our page.

3. How to find GCD of 932, 590, 736, 209 on a calculator?

You can find the GCD of 932, 590, 736, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.