GCD of 829, 352, 234, 745 Calculator

Given Input numbers are 829, 352, 234, 745

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 829, 352, 234, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 352, 234, 745 is 1.

Therefore, GCD of numbers 829, 352, 234, 745 is 1

Given Input Data is 829, 352, 234, 745

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

Prime Factorization of 829 is 829

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

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 745 is 5 x 149

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(829, 352) = 291808

GCD(829, 352) = ( 829 x 352 ) / 291808

GCD(829, 352) = 291808 / 291808

GCD(829, 352) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 234

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

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

GCD(1, 234) = 234 / 234

GCD(1, 234) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 829, 352, 234, 745 is 1

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1. What is the GCD of 829, 352, 234, 745?

GCD of 829, 352, 234, 745 is 1

2. Where do I get the detailed procedure to find GCD of 829, 352, 234, 745?

You can find a detailed procedure to find GCD of 829, 352, 234, 745 on our page.

3. How to find GCD of 829, 352, 234, 745 on a calculator?

You can find the GCD of 829, 352, 234, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.