GCD of 80, 772, 575, 899 Calculator

Given Input numbers are 80, 772, 575, 899

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 80, 772, 575, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 772, 575, 899 is 1.

Therefore, GCD of numbers 80, 772, 575, 899 is 1

Given Input Data is 80, 772, 575, 899

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 899 is 29 x 31

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(80, 772) = 15440

GCD(80, 772) = ( 80 x 772 ) / 15440

GCD(80, 772) = 61760 / 15440

GCD(80, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 575

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

LCM(4, 575) = 2300

GCD(4, 575) = ( 4 x 575 ) / 2300

GCD(4, 575) = 2300 / 2300

GCD(4, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 80, 772, 575, 899 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 926, 661, 343
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• GCD of 30, 176, 626, 288
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• GCD of 38, 191, 877, 673

1. What is the GCD of 80, 772, 575, 899?

GCD of 80, 772, 575, 899 is 1

2. Where do I get the detailed procedure to find GCD of 80, 772, 575, 899?

You can find a detailed procedure to find GCD of 80, 772, 575, 899 on our page.

3. How to find GCD of 80, 772, 575, 899 on a calculator?

You can find the GCD of 80, 772, 575, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.