GCD of 237, 372, 459, 761 Calculator

Given Input numbers are 237, 372, 459, 761

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 237, 372, 459, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 372, 459, 761 is 1.

Therefore, GCD of numbers 237, 372, 459, 761 is 1

Given Input Data is 237, 372, 459, 761

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

Prime Factorization of 237 is 3 x 79

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

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 761 is 761

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(237, 372) = 29388

GCD(237, 372) = ( 237 x 372 ) / 29388

GCD(237, 372) = 88164 / 29388

GCD(237, 372) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 459

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

LCM(3, 459) = 459

GCD(3, 459) = ( 3 x 459 ) / 459

GCD(3, 459) = 1377 / 459

GCD(3, 459) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 761

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

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

GCD(3, 761) = 2283 / 2283

GCD(3, 761) = 1

GCD of 237, 372, 459, 761 is 1

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1. What is the GCD of 237, 372, 459, 761?

GCD of 237, 372, 459, 761 is 1

2. Where do I get the detailed procedure to find GCD of 237, 372, 459, 761?

You can find a detailed procedure to find GCD of 237, 372, 459, 761 on our page.

3. How to find GCD of 237, 372, 459, 761 on a calculator?

You can find the GCD of 237, 372, 459, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.