GCD of 696, 558, 432, 617 Calculator

Given Input numbers are 696, 558, 432, 617

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Greatest Common Divisior

We found the divisors of 696, 558, 432, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 558, 432, 617 is 1.

Therefore, GCD of numbers 696, 558, 432, 617 is 1

Given Input Data is 696, 558, 432, 617

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 617 is 617

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(696, 558) = 64728

GCD(696, 558) = ( 696 x 558 ) / 64728

GCD(696, 558) = 388368 / 64728

GCD(696, 558) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 432

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

LCM(6, 432) = 432

GCD(6, 432) = ( 6 x 432 ) / 432

GCD(6, 432) = 2592 / 432

GCD(6, 432) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 617

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

LCM(6, 617) = 3702

GCD(6, 617) = ( 6 x 617 ) / 3702

GCD(6, 617) = 3702 / 3702

GCD(6, 617) = 1

GCD of 696, 558, 432, 617 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 120, 347, 665
• GCD of 486, 509, 552, 251
• GCD of 337, 981, 724, 732
• GCD of 947, 847, 610, 287
• GCD of 158, 467, 762, 925

1. What is the GCD of 696, 558, 432, 617?

GCD of 696, 558, 432, 617 is 1

2. Where do I get the detailed procedure to find GCD of 696, 558, 432, 617?

You can find a detailed procedure to find GCD of 696, 558, 432, 617 on our page.

3. How to find GCD of 696, 558, 432, 617 on a calculator?

You can find the GCD of 696, 558, 432, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.