GCD of 567, 407, 692, 678 Calculator

Given Input numbers are 567, 407, 692, 678

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 567, 407, 692, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 407, 692, 678 is 1.

Therefore, GCD of numbers 567, 407, 692, 678 is 1

Given Input Data is 567, 407, 692, 678

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 407 is 11 x 37

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 678 is 2 x 3 x 113

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(567, 407) = 230769

GCD(567, 407) = ( 567 x 407 ) / 230769

GCD(567, 407) = 230769 / 230769

GCD(567, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 567, 407, 692, 678 is 1

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1. What is the GCD of 567, 407, 692, 678?

GCD of 567, 407, 692, 678 is 1

2. Where do I get the detailed procedure to find GCD of 567, 407, 692, 678?

You can find a detailed procedure to find GCD of 567, 407, 692, 678 on our page.

3. How to find GCD of 567, 407, 692, 678 on a calculator?

You can find the GCD of 567, 407, 692, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.