GCD of 828, 183, 722, 611 Calculator

Given Input numbers are 828, 183, 722, 611

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 828, 183, 722, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 183, 722, 611 is 1.

Therefore, GCD of numbers 828, 183, 722, 611 is 1

Given Input Data is 828, 183, 722, 611

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 183 is 3 x 61

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 611 is 13 x 47

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(828, 183) = 50508

GCD(828, 183) = ( 828 x 183 ) / 50508

GCD(828, 183) = 151524 / 50508

GCD(828, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 722

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

LCM(3, 722) = 2166

GCD(3, 722) = ( 3 x 722 ) / 2166

GCD(3, 722) = 2166 / 2166

GCD(3, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 611

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

LCM(1, 611) = 611

GCD(1, 611) = ( 1 x 611 ) / 611

GCD(1, 611) = 611 / 611

GCD(1, 611) = 1

GCD of 828, 183, 722, 611 is 1

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1. What is the GCD of 828, 183, 722, 611?

GCD of 828, 183, 722, 611 is 1

2. Where do I get the detailed procedure to find GCD of 828, 183, 722, 611?

You can find a detailed procedure to find GCD of 828, 183, 722, 611 on our page.

3. How to find GCD of 828, 183, 722, 611 on a calculator?

You can find the GCD of 828, 183, 722, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.