GCD of 82, 545, 775, 824 Calculator

Given Input numbers are 82, 545, 775, 824

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 82, 545, 775, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 545, 775, 824 is 1.

Therefore, GCD of numbers 82, 545, 775, 824 is 1

Given Input Data is 82, 545, 775, 824

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 545 is 5 x 109

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(82, 545) = 44690

GCD(82, 545) = ( 82 x 545 ) / 44690

GCD(82, 545) = 44690 / 44690

GCD(82, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 82, 545, 775, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 943, 353, 825
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• GCD of 21, 906, 206, 444

1. What is the GCD of 82, 545, 775, 824?

GCD of 82, 545, 775, 824 is 1

2. Where do I get the detailed procedure to find GCD of 82, 545, 775, 824?

You can find a detailed procedure to find GCD of 82, 545, 775, 824 on our page.

3. How to find GCD of 82, 545, 775, 824 on a calculator?

You can find the GCD of 82, 545, 775, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.