GCD of 208, 494, 967, 549 Calculator

Given Input numbers are 208, 494, 967, 549

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

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 208, 494, 967, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 494, 967, 549 is 1.

Therefore, GCD of numbers 208, 494, 967, 549 is 1

Given Input Data is 208, 494, 967, 549

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 494 is 2 x 13 x 19

Prime Factorization of 967 is 967

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(208, 494) = 3952

GCD(208, 494) = ( 208 x 494 ) / 3952

GCD(208, 494) = 102752 / 3952

GCD(208, 494) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 967

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

LCM(26, 967) = 25142

GCD(26, 967) = ( 26 x 967 ) / 25142

GCD(26, 967) = 25142 / 25142

GCD(26, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 208, 494, 967, 549 is 1

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1. What is the GCD of 208, 494, 967, 549?

GCD of 208, 494, 967, 549 is 1

2. Where do I get the detailed procedure to find GCD of 208, 494, 967, 549?

You can find a detailed procedure to find GCD of 208, 494, 967, 549 on our page.

3. How to find GCD of 208, 494, 967, 549 on a calculator?

You can find the GCD of 208, 494, 967, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.