GCD of 933, 699, 345, 359 Calculator

Given Input numbers are 933, 699, 345, 359

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

Divisors of 933

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

1, 3, 311, 933

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 933, 699, 345, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 699, 345, 359 is 1.

Therefore, GCD of numbers 933, 699, 345, 359 is 1

Given Input Data is 933, 699, 345, 359

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

Prime Factorization of 933 is 3 x 311

Prime Factorization of 699 is 3 x 233

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 359 is 359

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(933, 699) = 217389

GCD(933, 699) = ( 933 x 699 ) / 217389

GCD(933, 699) = 652167 / 217389

GCD(933, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 345

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

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

GCD(3, 345) = 1035 / 345

GCD(3, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 359

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

LCM(3, 359) = 1077

GCD(3, 359) = ( 3 x 359 ) / 1077

GCD(3, 359) = 1077 / 1077

GCD(3, 359) = 1

GCD of 933, 699, 345, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 310, 415, 228
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• GCD of 947, 234, 172, 546
• GCD of 288, 441, 586, 653
• GCD of 480, 556, 303, 674

1. What is the GCD of 933, 699, 345, 359?

GCD of 933, 699, 345, 359 is 1

2. Where do I get the detailed procedure to find GCD of 933, 699, 345, 359?

You can find a detailed procedure to find GCD of 933, 699, 345, 359 on our page.

3. How to find GCD of 933, 699, 345, 359 on a calculator?

You can find the GCD of 933, 699, 345, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.