GCD of 356, 172, 36, 549 Calculator

Given Input numbers are 356, 172, 36, 549

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 356, 172, 36, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 172, 36, 549 is 1.

Therefore, GCD of numbers 356, 172, 36, 549 is 1

Given Input Data is 356, 172, 36, 549

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 172 is 2 x 2 x 43

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 549 is 3 x 3 x 61

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, 172) = 15308

GCD(356, 172) = ( 356 x 172 ) / 15308

GCD(356, 172) = 61232 / 15308

GCD(356, 172) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 36

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

LCM(4, 36) = 36

GCD(4, 36) = ( 4 x 36 ) / 36

GCD(4, 36) = 144 / 36

GCD(4, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 549

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

LCM(4, 549) = 2196

GCD(4, 549) = ( 4 x 549 ) / 2196

GCD(4, 549) = 2196 / 2196

GCD(4, 549) = 1

GCD of 356, 172, 36, 549 is 1

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• GCD of 980, 740, 60, 838
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1. What is the GCD of 356, 172, 36, 549?

GCD of 356, 172, 36, 549 is 1

2. Where do I get the detailed procedure to find GCD of 356, 172, 36, 549?

You can find a detailed procedure to find GCD of 356, 172, 36, 549 on our page.

3. How to find GCD of 356, 172, 36, 549 on a calculator?

You can find the GCD of 356, 172, 36, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.