GCD of 826, 679, 564, 579 Calculator

Given Input numbers are 826, 679, 564, 579

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 679

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

1, 7, 97, 679

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Greatest Common Divisior

We found the divisors of 826, 679, 564, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 679, 564, 579 is 1.

Therefore, GCD of numbers 826, 679, 564, 579 is 1

Given Input Data is 826, 679, 564, 579

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 679 is 7 x 97

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 579 is 3 x 193

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(826, 679) = 80122

GCD(826, 679) = ( 826 x 679 ) / 80122

GCD(826, 679) = 560854 / 80122

GCD(826, 679) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 564

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

LCM(7, 564) = 3948

GCD(7, 564) = ( 7 x 564 ) / 3948

GCD(7, 564) = 3948 / 3948

GCD(7, 564) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 579

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

LCM(1, 579) = 579

GCD(1, 579) = ( 1 x 579 ) / 579

GCD(1, 579) = 579 / 579

GCD(1, 579) = 1

GCD of 826, 679, 564, 579 is 1

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1. What is the GCD of 826, 679, 564, 579?

GCD of 826, 679, 564, 579 is 1

2. Where do I get the detailed procedure to find GCD of 826, 679, 564, 579?

You can find a detailed procedure to find GCD of 826, 679, 564, 579 on our page.

3. How to find GCD of 826, 679, 564, 579 on a calculator?

You can find the GCD of 826, 679, 564, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.