GCD of 74, 180, 591, 853 Calculator

Given Input numbers are 74, 180, 591, 853

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

Divisors of 74

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

1, 2, 37, 74

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 74, 180, 591, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 180, 591, 853 is 1.

Therefore, GCD of numbers 74, 180, 591, 853 is 1

Given Input Data is 74, 180, 591, 853

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

Prime Factorization of 74 is 2 x 37

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

Prime Factorization of 591 is 3 x 197

Prime Factorization of 853 is 853

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(74, 180) = 6660

GCD(74, 180) = ( 74 x 180 ) / 6660

GCD(74, 180) = 13320 / 6660

GCD(74, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 591

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

LCM(2, 591) = 1182

GCD(2, 591) = ( 2 x 591 ) / 1182

GCD(2, 591) = 1182 / 1182

GCD(2, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 74, 180, 591, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 362, 121, 399
• GCD of 15, 491, 268, 213
• GCD of 80, 497, 529, 861
• GCD of 14, 778, 519, 777
• GCD of 17, 181, 407, 381

1. What is the GCD of 74, 180, 591, 853?

GCD of 74, 180, 591, 853 is 1

2. Where do I get the detailed procedure to find GCD of 74, 180, 591, 853?

You can find a detailed procedure to find GCD of 74, 180, 591, 853 on our page.

3. How to find GCD of 74, 180, 591, 853 on a calculator?

You can find the GCD of 74, 180, 591, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.