GCD of 153, 208, 138, 304 Calculator

Given Input numbers are 153, 208, 138, 304

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 153, 208, 138, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 208, 138, 304 is 1.

Therefore, GCD of numbers 153, 208, 138, 304 is 1

Given Input Data is 153, 208, 138, 304

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(153, 208) = 31824

GCD(153, 208) = ( 153 x 208 ) / 31824

GCD(153, 208) = 31824 / 31824

GCD(153, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 153, 208, 138, 304 is 1

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• GCD of 477, 376, 316, 590
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1. What is the GCD of 153, 208, 138, 304?

GCD of 153, 208, 138, 304 is 1

2. Where do I get the detailed procedure to find GCD of 153, 208, 138, 304?

You can find a detailed procedure to find GCD of 153, 208, 138, 304 on our page.

3. How to find GCD of 153, 208, 138, 304 on a calculator?

You can find the GCD of 153, 208, 138, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.