GCD of 832, 328, 735, 793 Calculator

Given Input numbers are 832, 328, 735, 793

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

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 832, 328, 735, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 328, 735, 793 is 1.

Therefore, GCD of numbers 832, 328, 735, 793 is 1

Given Input Data is 832, 328, 735, 793

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

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

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 793 is 13 x 61

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(832, 328) = 34112

GCD(832, 328) = ( 832 x 328 ) / 34112

GCD(832, 328) = 272896 / 34112

GCD(832, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 735

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

LCM(8, 735) = 5880

GCD(8, 735) = ( 8 x 735 ) / 5880

GCD(8, 735) = 5880 / 5880

GCD(8, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 832, 328, 735, 793 is 1

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1. What is the GCD of 832, 328, 735, 793?

GCD of 832, 328, 735, 793 is 1

2. Where do I get the detailed procedure to find GCD of 832, 328, 735, 793?

You can find a detailed procedure to find GCD of 832, 328, 735, 793 on our page.

3. How to find GCD of 832, 328, 735, 793 on a calculator?

You can find the GCD of 832, 328, 735, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.