GCD of 176, 770, 642, 789 Calculator

Given Input numbers are 176, 770, 642, 789

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 789

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

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 176, 770, 642, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 770, 642, 789 is 1.

Therefore, GCD of numbers 176, 770, 642, 789 is 1

Given Input Data is 176, 770, 642, 789

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 789 is 3 x 263

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(176, 770) = 6160

GCD(176, 770) = ( 176 x 770 ) / 6160

GCD(176, 770) = 135520 / 6160

GCD(176, 770) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 642

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

LCM(22, 642) = 7062

GCD(22, 642) = ( 22 x 642 ) / 7062

GCD(22, 642) = 14124 / 7062

GCD(22, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 789

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

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

GCD(2, 789) = 1578 / 1578

GCD(2, 789) = 1

GCD of 176, 770, 642, 789 is 1

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1. What is the GCD of 176, 770, 642, 789?

GCD of 176, 770, 642, 789 is 1

2. Where do I get the detailed procedure to find GCD of 176, 770, 642, 789?

You can find a detailed procedure to find GCD of 176, 770, 642, 789 on our page.

3. How to find GCD of 176, 770, 642, 789 on a calculator?

You can find the GCD of 176, 770, 642, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.