GCD of 174, 200, 769, 933 Calculator

Given Input numbers are 174, 200, 769, 933

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 174, 200, 769, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 200, 769, 933 is 1.

Therefore, GCD of numbers 174, 200, 769, 933 is 1

Given Input Data is 174, 200, 769, 933

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 769 is 769

Prime Factorization of 933 is 3 x 311

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(174, 200) = 17400

GCD(174, 200) = ( 174 x 200 ) / 17400

GCD(174, 200) = 34800 / 17400

GCD(174, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 933

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

LCM(1, 933) = 933

GCD(1, 933) = ( 1 x 933 ) / 933

GCD(1, 933) = 933 / 933

GCD(1, 933) = 1

GCD of 174, 200, 769, 933 is 1

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1. What is the GCD of 174, 200, 769, 933?

GCD of 174, 200, 769, 933 is 1

2. Where do I get the detailed procedure to find GCD of 174, 200, 769, 933?

You can find a detailed procedure to find GCD of 174, 200, 769, 933 on our page.

3. How to find GCD of 174, 200, 769, 933 on a calculator?

You can find the GCD of 174, 200, 769, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.