GCD of 679, 784, 165, 561 Calculator

Given Input numbers are 679, 784, 165, 561

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 679, 784, 165, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 784, 165, 561 is 1.

Therefore, GCD of numbers 679, 784, 165, 561 is 1

Given Input Data is 679, 784, 165, 561

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 561 is 3 x 11 x 17

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(679, 784) = 76048

GCD(679, 784) = ( 679 x 784 ) / 76048

GCD(679, 784) = 532336 / 76048

GCD(679, 784) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 165

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

LCM(7, 165) = 1155

GCD(7, 165) = ( 7 x 165 ) / 1155

GCD(7, 165) = 1155 / 1155

GCD(7, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 679, 784, 165, 561 is 1

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• GCD of 643, 890, 160, 190
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1. What is the GCD of 679, 784, 165, 561?

GCD of 679, 784, 165, 561 is 1

2. Where do I get the detailed procedure to find GCD of 679, 784, 165, 561?

You can find a detailed procedure to find GCD of 679, 784, 165, 561 on our page.

3. How to find GCD of 679, 784, 165, 561 on a calculator?

You can find the GCD of 679, 784, 165, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.