GCD of 754, 832, 36, 329 Calculator

Given Input numbers are 754, 832, 36, 329

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 754, 832, 36, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 832, 36, 329 is 1.

Therefore, GCD of numbers 754, 832, 36, 329 is 1

Given Input Data is 754, 832, 36, 329

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 329 is 7 x 47

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(754, 832) = 24128

GCD(754, 832) = ( 754 x 832 ) / 24128

GCD(754, 832) = 627328 / 24128

GCD(754, 832) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 36

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

LCM(26, 36) = 468

GCD(26, 36) = ( 26 x 36 ) / 468

GCD(26, 36) = 936 / 468

GCD(26, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 329

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

LCM(2, 329) = 658

GCD(2, 329) = ( 2 x 329 ) / 658

GCD(2, 329) = 658 / 658

GCD(2, 329) = 1

GCD of 754, 832, 36, 329 is 1

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1. What is the GCD of 754, 832, 36, 329?

GCD of 754, 832, 36, 329 is 1

2. Where do I get the detailed procedure to find GCD of 754, 832, 36, 329?

You can find a detailed procedure to find GCD of 754, 832, 36, 329 on our page.

3. How to find GCD of 754, 832, 36, 329 on a calculator?

You can find the GCD of 754, 832, 36, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.