GCD of 20, 238, 467, 762 Calculator

Given Input numbers are 20, 238, 467, 762

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 20, 238, 467, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 238, 467, 762 is 1.

Therefore, GCD of numbers 20, 238, 467, 762 is 1

Given Input Data is 20, 238, 467, 762

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 467 is 467

Prime Factorization of 762 is 2 x 3 x 127

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(20, 238) = 2380

GCD(20, 238) = ( 20 x 238 ) / 2380

GCD(20, 238) = 4760 / 2380

GCD(20, 238) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 20, 238, 467, 762 is 1

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1. What is the GCD of 20, 238, 467, 762?

GCD of 20, 238, 467, 762 is 1

2. Where do I get the detailed procedure to find GCD of 20, 238, 467, 762?

You can find a detailed procedure to find GCD of 20, 238, 467, 762 on our page.

3. How to find GCD of 20, 238, 467, 762 on a calculator?

You can find the GCD of 20, 238, 467, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.