GCD of 319, 737, 231, 692 Calculator

Given Input numbers are 319, 737, 231, 692

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

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 319, 737, 231, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 737, 231, 692 is 1.

Therefore, GCD of numbers 319, 737, 231, 692 is 1

Given Input Data is 319, 737, 231, 692

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

Prime Factorization of 319 is 11 x 29

Prime Factorization of 737 is 11 x 67

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 692 is 2 x 2 x 173

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(319, 737) = 21373

GCD(319, 737) = ( 319 x 737 ) / 21373

GCD(319, 737) = 235103 / 21373

GCD(319, 737) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 231

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

LCM(11, 231) = 231

GCD(11, 231) = ( 11 x 231 ) / 231

GCD(11, 231) = 2541 / 231

GCD(11, 231) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 692

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

LCM(11, 692) = 7612

GCD(11, 692) = ( 11 x 692 ) / 7612

GCD(11, 692) = 7612 / 7612

GCD(11, 692) = 1

GCD of 319, 737, 231, 692 is 1

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1. What is the GCD of 319, 737, 231, 692?

GCD of 319, 737, 231, 692 is 1

2. Where do I get the detailed procedure to find GCD of 319, 737, 231, 692?

You can find a detailed procedure to find GCD of 319, 737, 231, 692 on our page.

3. How to find GCD of 319, 737, 231, 692 on a calculator?

You can find the GCD of 319, 737, 231, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.