GCD of 238, 154, 821, 348 Calculator

Given Input numbers are 238, 154, 821, 348

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 238, 154, 821, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 154, 821, 348 is 1.

Therefore, GCD of numbers 238, 154, 821, 348 is 1

Given Input Data is 238, 154, 821, 348

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 154 is 2 x 7 x 11

Prime Factorization of 821 is 821

Prime Factorization of 348 is 2 x 2 x 3 x 29

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, 154) = 2618

GCD(238, 154) = ( 238 x 154 ) / 2618

GCD(238, 154) = 36652 / 2618

GCD(238, 154) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 821

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

LCM(14, 821) = 11494

GCD(14, 821) = ( 14 x 821 ) / 11494

GCD(14, 821) = 11494 / 11494

GCD(14, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 238, 154, 821, 348 is 1

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1. What is the GCD of 238, 154, 821, 348?

GCD of 238, 154, 821, 348 is 1

2. Where do I get the detailed procedure to find GCD of 238, 154, 821, 348?

You can find a detailed procedure to find GCD of 238, 154, 821, 348 on our page.

3. How to find GCD of 238, 154, 821, 348 on a calculator?

You can find the GCD of 238, 154, 821, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.