GCD of 364, 692, 435, 239 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 364, 692, 435, 239 i.e. 1 largest integer that divides all the numbers equally.

GCD of 364, 692, 435, 239 is 1

GCD(364, 692, 435, 239) = 1

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

GCD of

GCD of numbers 364, 692, 435, 239 is 1

GCD(364, 692, 435, 239) = 1

GCD of 364,692,435,239 Calculator

GCDof 364,692,435,239 is 1

Given Input numbers are 364, 692, 435, 239

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Greatest Common Divisior

We found the divisors of 364, 692, 435, 239 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 692, 435, 239 is 1.

Therefore, GCD of numbers 364, 692, 435, 239 is 1

Finding GCD of 364, 692, 435, 239 using Prime Factorization

Given Input Data is 364, 692, 435, 239

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 239 is 239

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

Finding GCD of 364, 692, 435, 239 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(364, 692) = 62972

GCD(364, 692) = ( 364 x 692 ) / 62972

GCD(364, 692) = 251888 / 62972

GCD(364, 692) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 435

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

LCM(4, 435) = 1740

GCD(4, 435) = ( 4 x 435 ) / 1740

GCD(4, 435) = 1740 / 1740

GCD(4, 435) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 239

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

LCM(1, 239) = 239

GCD(1, 239) = ( 1 x 239 ) / 239

GCD(1, 239) = 239 / 239

GCD(1, 239) = 1

GCD of 364, 692, 435, 239 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 364, 692, 435, 239

1. What is the GCD of 364, 692, 435, 239?

GCD of 364, 692, 435, 239 is 1


2. Where do I get the detailed procedure to find GCD of 364, 692, 435, 239?

You can find a detailed procedure to find GCD of 364, 692, 435, 239 on our page.


3. How to find GCD of 364, 692, 435, 239 on a calculator?

You can find the GCD of 364, 692, 435, 239 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.