GCD of 824, 642, 747, 206 Calculator

Given Input numbers are 824, 642, 747, 206

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

Divisors of 824

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

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 824, 642, 747, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 642, 747, 206 is 1.

Therefore, GCD of numbers 824, 642, 747, 206 is 1

Given Input Data is 824, 642, 747, 206

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

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 206 is 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(824, 642) = 264504

GCD(824, 642) = ( 824 x 642 ) / 264504

GCD(824, 642) = 529008 / 264504

GCD(824, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 747

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

LCM(2, 747) = 1494

GCD(2, 747) = ( 2 x 747 ) / 1494

GCD(2, 747) = 1494 / 1494

GCD(2, 747) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 1

GCD of 824, 642, 747, 206 is 1

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1. What is the GCD of 824, 642, 747, 206?

GCD of 824, 642, 747, 206 is 1

2. Where do I get the detailed procedure to find GCD of 824, 642, 747, 206?

You can find a detailed procedure to find GCD of 824, 642, 747, 206 on our page.

3. How to find GCD of 824, 642, 747, 206 on a calculator?

You can find the GCD of 824, 642, 747, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.