GCD of 706, 144, 667, 304 Calculator

Given Input numbers are 706, 144, 667, 304

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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 706, 144, 667, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 144, 667, 304 is 1.

Therefore, GCD of numbers 706, 144, 667, 304 is 1

Given Input Data is 706, 144, 667, 304

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 667 is 23 x 29

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(706, 144) = 50832

GCD(706, 144) = ( 706 x 144 ) / 50832

GCD(706, 144) = 101664 / 50832

GCD(706, 144) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 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 706, 144, 667, 304 is 1

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1. What is the GCD of 706, 144, 667, 304?

GCD of 706, 144, 667, 304 is 1

2. Where do I get the detailed procedure to find GCD of 706, 144, 667, 304?

You can find a detailed procedure to find GCD of 706, 144, 667, 304 on our page.

3. How to find GCD of 706, 144, 667, 304 on a calculator?

You can find the GCD of 706, 144, 667, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.