GCD of 829, 285, 74, 178 Calculator

Given Input numbers are 829, 285, 74, 178

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 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 829, 285, 74, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 285, 74, 178 is 1.

Therefore, GCD of numbers 829, 285, 74, 178 is 1

Given Input Data is 829, 285, 74, 178

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

Prime Factorization of 829 is 829

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 74 is 2 x 37

Prime Factorization of 178 is 2 x 89

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, 285) = 236265

GCD(829, 285) = ( 829 x 285 ) / 236265

GCD(829, 285) = 236265 / 236265

GCD(829, 285) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 829, 285, 74, 178 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 186, 52, 316
• GCD of 586, 672, 22, 110
• GCD of 133, 644, 33, 554
• GCD of 995, 484, 71, 929
• GCD of 174, 148, 77, 736

1. What is the GCD of 829, 285, 74, 178?

GCD of 829, 285, 74, 178 is 1

2. Where do I get the detailed procedure to find GCD of 829, 285, 74, 178?

You can find a detailed procedure to find GCD of 829, 285, 74, 178 on our page.

3. How to find GCD of 829, 285, 74, 178 on a calculator?

You can find the GCD of 829, 285, 74, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.