GCD of 689, 553, 66, 584 Calculator

Given Input numbers are 689, 553, 66, 584

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 689, 553, 66, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 553, 66, 584 is 1.

Therefore, GCD of numbers 689, 553, 66, 584 is 1

Given Input Data is 689, 553, 66, 584

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 553 is 7 x 79

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 553) = 381017

GCD(689, 553) = ( 689 x 553 ) / 381017

GCD(689, 553) = 381017 / 381017

GCD(689, 553) = 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 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 689, 553, 66, 584 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 133, 76, 473
• GCD of 760, 840, 24, 872
• GCD of 589, 358, 49, 735
• GCD of 899, 998, 55, 308
• GCD of 552, 174, 91, 403

1. What is the GCD of 689, 553, 66, 584?

GCD of 689, 553, 66, 584 is 1

2. Where do I get the detailed procedure to find GCD of 689, 553, 66, 584?

You can find a detailed procedure to find GCD of 689, 553, 66, 584 on our page.

3. How to find GCD of 689, 553, 66, 584 on a calculator?

You can find the GCD of 689, 553, 66, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.