GCD of 549, 969, 40, 385 Calculator

Given Input numbers are 549, 969, 40, 385

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

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Greatest Common Divisior

We found the divisors of 549, 969, 40, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 969, 40, 385 is 1.

Therefore, GCD of numbers 549, 969, 40, 385 is 1

Given Input Data is 549, 969, 40, 385

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 385 is 5 x 7 x 11

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(549, 969) = 177327

GCD(549, 969) = ( 549 x 969 ) / 177327

GCD(549, 969) = 531981 / 177327

GCD(549, 969) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

GCD of 549, 969, 40, 385 is 1

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1. What is the GCD of 549, 969, 40, 385?

GCD of 549, 969, 40, 385 is 1

2. Where do I get the detailed procedure to find GCD of 549, 969, 40, 385?

You can find a detailed procedure to find GCD of 549, 969, 40, 385 on our page.

3. How to find GCD of 549, 969, 40, 385 on a calculator?

You can find the GCD of 549, 969, 40, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.