GCD of 679, 452, 828, 648 Calculator

Given Input numbers are 679, 452, 828, 648

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 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 679, 452, 828, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 452, 828, 648 is 1.

Therefore, GCD of numbers 679, 452, 828, 648 is 1

Given Input Data is 679, 452, 828, 648

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 452 is 2 x 2 x 113

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 452) = 306908

GCD(679, 452) = ( 679 x 452 ) / 306908

GCD(679, 452) = 306908 / 306908

GCD(679, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 679, 452, 828, 648 is 1

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1. What is the GCD of 679, 452, 828, 648?

GCD of 679, 452, 828, 648 is 1

2. Where do I get the detailed procedure to find GCD of 679, 452, 828, 648?

You can find a detailed procedure to find GCD of 679, 452, 828, 648 on our page.

3. How to find GCD of 679, 452, 828, 648 on a calculator?

You can find the GCD of 679, 452, 828, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.