GCD of 231, 372, 358, 642 Calculator

Given Input numbers are 231, 372, 358, 642

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

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 231, 372, 358, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 372, 358, 642 is 1.

Therefore, GCD of numbers 231, 372, 358, 642 is 1

Given Input Data is 231, 372, 358, 642

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 358 is 2 x 179

Prime Factorization of 642 is 2 x 3 x 107

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(231, 372) = 28644

GCD(231, 372) = ( 231 x 372 ) / 28644

GCD(231, 372) = 85932 / 28644

GCD(231, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 358

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

LCM(3, 358) = 1074

GCD(3, 358) = ( 3 x 358 ) / 1074

GCD(3, 358) = 1074 / 1074

GCD(3, 358) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 231, 372, 358, 642 is 1

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• GCD of 210, 487, 155, 545
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• GCD of 445, 207, 349, 609

1. What is the GCD of 231, 372, 358, 642?

GCD of 231, 372, 358, 642 is 1

2. Where do I get the detailed procedure to find GCD of 231, 372, 358, 642?

You can find a detailed procedure to find GCD of 231, 372, 358, 642 on our page.

3. How to find GCD of 231, 372, 358, 642 on a calculator?

You can find the GCD of 231, 372, 358, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.