GCD of 642, 231, 40, 124 Calculator

Given Input numbers are 642, 231, 40, 124

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

Divisors of 642

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

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

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 642, 231, 40, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 231, 40, 124 is 1.

Therefore, GCD of numbers 642, 231, 40, 124 is 1

Given Input Data is 642, 231, 40, 124

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 124 is 2 x 2 x 31

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(642, 231) = 49434

GCD(642, 231) = ( 642 x 231 ) / 49434

GCD(642, 231) = 148302 / 49434

GCD(642, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 40

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

LCM(3, 40) = 120

GCD(3, 40) = ( 3 x 40 ) / 120

GCD(3, 40) = 120 / 120

GCD(3, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 642, 231, 40, 124 is 1

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1. What is the GCD of 642, 231, 40, 124?

GCD of 642, 231, 40, 124 is 1

2. Where do I get the detailed procedure to find GCD of 642, 231, 40, 124?

You can find a detailed procedure to find GCD of 642, 231, 40, 124 on our page.

3. How to find GCD of 642, 231, 40, 124 on a calculator?

You can find the GCD of 642, 231, 40, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.