GCD of 689, 296, 66, 567 Calculator

Given Input numbers are 689, 296, 66, 567

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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

Greatest Common Divisior

We found the divisors of 689, 296, 66, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 296, 66, 567 is 1.

Therefore, GCD of numbers 689, 296, 66, 567 is 1

Given Input Data is 689, 296, 66, 567

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 66 is 2 x 3 x 11

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

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(689, 296) = 203944

GCD(689, 296) = ( 689 x 296 ) / 203944

GCD(689, 296) = 203944 / 203944

GCD(689, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 689, 296, 66, 567 is 1

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• GCD of 630, 162, 74, 363
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1. What is the GCD of 689, 296, 66, 567?

GCD of 689, 296, 66, 567 is 1

2. Where do I get the detailed procedure to find GCD of 689, 296, 66, 567?

You can find a detailed procedure to find GCD of 689, 296, 66, 567 on our page.

3. How to find GCD of 689, 296, 66, 567 on a calculator?

You can find the GCD of 689, 296, 66, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.