GCD of 512, 707, 180, 168 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 512, 707, 180, 168 i.e. 1 largest integer that divides all the numbers equally.

GCD of 512, 707, 180, 168 is 1

GCD(512, 707, 180, 168) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 512, 707, 180, 168 is 1

GCD(512, 707, 180, 168) = 1

GCD of 512,707,180,168 Calculator

GCDof 512,707,180,168 is 1

Given Input numbers are 512, 707, 180, 168

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

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 512, 707, 180, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 512, 707, 180, 168 is 1.

Therefore, GCD of numbers 512, 707, 180, 168 is 1

Finding GCD of 512, 707, 180, 168 using Prime Factorization

Given Input Data is 512, 707, 180, 168

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

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 707 is 7 x 101

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 512, 707, 180, 168 using LCM Formula

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(512, 707) = 361984

GCD(512, 707) = ( 512 x 707 ) / 361984

GCD(512, 707) = 361984 / 361984

GCD(512, 707) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 512, 707, 180, 168 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 512, 707, 180, 168

1. What is the GCD of 512, 707, 180, 168?

GCD of 512, 707, 180, 168 is 1


2. Where do I get the detailed procedure to find GCD of 512, 707, 180, 168?

You can find a detailed procedure to find GCD of 512, 707, 180, 168 on our page.


3. How to find GCD of 512, 707, 180, 168 on a calculator?

You can find the GCD of 512, 707, 180, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.