GCD of 772, 180, 71, 652 Calculator

Given Input numbers are 772, 180, 71, 652

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 772, 180, 71, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 180, 71, 652 is 1.

Therefore, GCD of numbers 772, 180, 71, 652 is 1

Given Input Data is 772, 180, 71, 652

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

Prime Factorization of 772 is 2 x 2 x 193

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

Prime Factorization of 71 is 71

Prime Factorization of 652 is 2 x 2 x 163

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(772, 180) = 34740

GCD(772, 180) = ( 772 x 180 ) / 34740

GCD(772, 180) = 138960 / 34740

GCD(772, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 772, 180, 71, 652 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 988, 24, 735
• GCD of 359, 449, 38, 597
• GCD of 415, 714, 30, 511
• GCD of 927, 237, 64, 745
• GCD of 278, 909, 72, 166

1. What is the GCD of 772, 180, 71, 652?

GCD of 772, 180, 71, 652 is 1

2. Where do I get the detailed procedure to find GCD of 772, 180, 71, 652?

You can find a detailed procedure to find GCD of 772, 180, 71, 652 on our page.

3. How to find GCD of 772, 180, 71, 652 on a calculator?

You can find the GCD of 772, 180, 71, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.