GCD of 153, 352, 691, 864 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 153, 352, 691, 864 i.e. 1 largest integer that divides all the numbers equally.

GCD of 153, 352, 691, 864 is 1

GCD(153, 352, 691, 864) = 1

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

GCD of

GCD of numbers 153, 352, 691, 864 is 1

GCD(153, 352, 691, 864) = 1

GCD of 153,352,691,864 Calculator

GCDof 153,352,691,864 is 1

Given Input numbers are 153, 352, 691, 864

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 153, 352, 691, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 352, 691, 864 is 1.

Therefore, GCD of numbers 153, 352, 691, 864 is 1

Finding GCD of 153, 352, 691, 864 using Prime Factorization

Given Input Data is 153, 352, 691, 864

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 691 is 691

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Finding GCD of 153, 352, 691, 864 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(153, 352) = 53856

GCD(153, 352) = ( 153 x 352 ) / 53856

GCD(153, 352) = 53856 / 53856

GCD(153, 352) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 153, 352, 691, 864 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 153, 352, 691, 864

1. What is the GCD of 153, 352, 691, 864?

GCD of 153, 352, 691, 864 is 1


2. Where do I get the detailed procedure to find GCD of 153, 352, 691, 864?

You can find a detailed procedure to find GCD of 153, 352, 691, 864 on our page.


3. How to find GCD of 153, 352, 691, 864 on a calculator?

You can find the GCD of 153, 352, 691, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.