GCD of 789, 154, 469, 367 Calculator

Given Input numbers are 789, 154, 469, 367

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

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 789, 154, 469, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 154, 469, 367 is 1.

Therefore, GCD of numbers 789, 154, 469, 367 is 1

Given Input Data is 789, 154, 469, 367

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

Prime Factorization of 789 is 3 x 263

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 469 is 7 x 67

Prime Factorization of 367 is 367

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(789, 154) = 121506

GCD(789, 154) = ( 789 x 154 ) / 121506

GCD(789, 154) = 121506 / 121506

GCD(789, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 367

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

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

GCD(1, 367) = 367 / 367

GCD(1, 367) = 1

GCD of 789, 154, 469, 367 is 1

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1. What is the GCD of 789, 154, 469, 367?

GCD of 789, 154, 469, 367 is 1

2. Where do I get the detailed procedure to find GCD of 789, 154, 469, 367?

You can find a detailed procedure to find GCD of 789, 154, 469, 367 on our page.

3. How to find GCD of 789, 154, 469, 367 on a calculator?

You can find the GCD of 789, 154, 469, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.