GCD of 682, 549, 60, 440 Calculator

Given Input numbers are 682, 549, 60, 440

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 682, 549, 60, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 549, 60, 440 is 1.

Therefore, GCD of numbers 682, 549, 60, 440 is 1

Given Input Data is 682, 549, 60, 440

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 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(682, 549) = 374418

GCD(682, 549) = ( 682 x 549 ) / 374418

GCD(682, 549) = 374418 / 374418

GCD(682, 549) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 682, 549, 60, 440 is 1

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1. What is the GCD of 682, 549, 60, 440?

GCD of 682, 549, 60, 440 is 1

2. Where do I get the detailed procedure to find GCD of 682, 549, 60, 440?

You can find a detailed procedure to find GCD of 682, 549, 60, 440 on our page.

3. How to find GCD of 682, 549, 60, 440 on a calculator?

You can find the GCD of 682, 549, 60, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.