GCD of 498, 693, 334, 232 Calculator

Given Input numbers are 498, 693, 334, 232

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 498, 693, 334, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 693, 334, 232 is 1.

Therefore, GCD of numbers 498, 693, 334, 232 is 1

Given Input Data is 498, 693, 334, 232

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 334 is 2 x 167

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(498, 693) = 115038

GCD(498, 693) = ( 498 x 693 ) / 115038

GCD(498, 693) = 345114 / 115038

GCD(498, 693) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 334

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

LCM(3, 334) = 1002

GCD(3, 334) = ( 3 x 334 ) / 1002

GCD(3, 334) = 1002 / 1002

GCD(3, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 498, 693, 334, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 619, 848, 480
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• GCD of 621, 418, 307, 621

1. What is the GCD of 498, 693, 334, 232?

GCD of 498, 693, 334, 232 is 1

2. Where do I get the detailed procedure to find GCD of 498, 693, 334, 232?

You can find a detailed procedure to find GCD of 498, 693, 334, 232 on our page.

3. How to find GCD of 498, 693, 334, 232 on a calculator?

You can find the GCD of 498, 693, 334, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.