GCD of 180, 588, 74, 689 Calculator

Given Input numbers are 180, 588, 74, 689

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 180, 588, 74, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 588, 74, 689 is 1.

Therefore, GCD of numbers 180, 588, 74, 689 is 1

Given Input Data is 180, 588, 74, 689

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 689 is 13 x 53

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(180, 588) = 8820

GCD(180, 588) = ( 180 x 588 ) / 8820

GCD(180, 588) = 105840 / 8820

GCD(180, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 74

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

LCM(12, 74) = 444

GCD(12, 74) = ( 12 x 74 ) / 444

GCD(12, 74) = 888 / 444

GCD(12, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

GCD of 180, 588, 74, 689 is 1

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• GCD of 649, 308, 99, 519
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1. What is the GCD of 180, 588, 74, 689?

GCD of 180, 588, 74, 689 is 1

2. Where do I get the detailed procedure to find GCD of 180, 588, 74, 689?

You can find a detailed procedure to find GCD of 180, 588, 74, 689 on our page.

3. How to find GCD of 180, 588, 74, 689 on a calculator?

You can find the GCD of 180, 588, 74, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.