GCD of 153, 391, 429, 964 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, 391, 429, 964 i.e. 1 largest integer that divides all the numbers equally.

GCD of 153, 391, 429, 964 is 1

GCD(153, 391, 429, 964) = 1

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

GCD of

GCD of numbers 153, 391, 429, 964 is 1

GCD(153, 391, 429, 964) = 1

GCD of 153,391,429,964 Calculator

GCDof 153,391,429,964 is 1

Given Input numbers are 153, 391, 429, 964

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 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 153, 391, 429, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 391, 429, 964 is 1.

Therefore, GCD of numbers 153, 391, 429, 964 is 1

Finding GCD of 153, 391, 429, 964 using Prime Factorization

Given Input Data is 153, 391, 429, 964

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 391 is 17 x 23

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 964 is 2 x 2 x 241

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

Finding GCD of 153, 391, 429, 964 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, 391) = 3519

GCD(153, 391) = ( 153 x 391 ) / 3519

GCD(153, 391) = 59823 / 3519

GCD(153, 391) = 17


Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 429

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

LCM(17, 429) = 7293

GCD(17, 429) = ( 17 x 429 ) / 7293

GCD(17, 429) = 7293 / 7293

GCD(17, 429) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 153, 391, 429, 964 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 153, 391, 429, 964

1. What is the GCD of 153, 391, 429, 964?

GCD of 153, 391, 429, 964 is 1


2. Where do I get the detailed procedure to find GCD of 153, 391, 429, 964?

You can find a detailed procedure to find GCD of 153, 391, 429, 964 on our page.


3. How to find GCD of 153, 391, 429, 964 on a calculator?

You can find the GCD of 153, 391, 429, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.