GCD of 37, 342, 584, 466 Calculator

Given Input numbers are 37, 342, 584, 466

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 37, 342, 584, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 342, 584, 466 is 1.

Therefore, GCD of numbers 37, 342, 584, 466 is 1

Given Input Data is 37, 342, 584, 466

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

Prime Factorization of 37 is 37

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 466 is 2 x 233

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(37, 342) = 12654

GCD(37, 342) = ( 37 x 342 ) / 12654

GCD(37, 342) = 12654 / 12654

GCD(37, 342) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 37, 342, 584, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 960, 779, 483
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• GCD of 61, 386, 471, 734

1. What is the GCD of 37, 342, 584, 466?

GCD of 37, 342, 584, 466 is 1

2. Where do I get the detailed procedure to find GCD of 37, 342, 584, 466?

You can find a detailed procedure to find GCD of 37, 342, 584, 466 on our page.

3. How to find GCD of 37, 342, 584, 466 on a calculator?

You can find the GCD of 37, 342, 584, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.