GCD of 237, 369, 462, 278 Calculator

Given Input numbers are 237, 369, 462, 278

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 237, 369, 462, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 369, 462, 278 is 1.

Therefore, GCD of numbers 237, 369, 462, 278 is 1

Given Input Data is 237, 369, 462, 278

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 278 is 2 x 139

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, 369) = 29151

GCD(237, 369) = ( 237 x 369 ) / 29151

GCD(237, 369) = 87453 / 29151

GCD(237, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 278

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

LCM(3, 278) = 834

GCD(3, 278) = ( 3 x 278 ) / 834

GCD(3, 278) = 834 / 834

GCD(3, 278) = 1

GCD of 237, 369, 462, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 846, 870, 134
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• GCD of 138, 826, 891, 670

1. What is the GCD of 237, 369, 462, 278?

GCD of 237, 369, 462, 278 is 1

2. Where do I get the detailed procedure to find GCD of 237, 369, 462, 278?

You can find a detailed procedure to find GCD of 237, 369, 462, 278 on our page.

3. How to find GCD of 237, 369, 462, 278 on a calculator?

You can find the GCD of 237, 369, 462, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.