GCD of 238, 462, 48, 151 Calculator

Given Input numbers are 238, 462, 48, 151

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

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 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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Greatest Common Divisior

We found the divisors of 238, 462, 48, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 462, 48, 151 is 1.

Therefore, GCD of numbers 238, 462, 48, 151 is 1

Given Input Data is 238, 462, 48, 151

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

Prime Factorization of 238 is 2 x 7 x 17

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 151 is 151

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(238, 462) = 7854

GCD(238, 462) = ( 238 x 462 ) / 7854

GCD(238, 462) = 109956 / 7854

GCD(238, 462) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 48

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

LCM(14, 48) = 336

GCD(14, 48) = ( 14 x 48 ) / 336

GCD(14, 48) = 672 / 336

GCD(14, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 151

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

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

GCD(2, 151) = 302 / 302

GCD(2, 151) = 1

GCD of 238, 462, 48, 151 is 1

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• GCD of 973, 796, 50, 397
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1. What is the GCD of 238, 462, 48, 151?

GCD of 238, 462, 48, 151 is 1

2. Where do I get the detailed procedure to find GCD of 238, 462, 48, 151?

You can find a detailed procedure to find GCD of 238, 462, 48, 151 on our page.

3. How to find GCD of 238, 462, 48, 151 on a calculator?

You can find the GCD of 238, 462, 48, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.