GCD of 162, 807, 709, 398 Calculator

Given Input numbers are 162, 807, 709, 398

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 162, 807, 709, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 807, 709, 398 is 1.

Therefore, GCD of numbers 162, 807, 709, 398 is 1

Given Input Data is 162, 807, 709, 398

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 807 is 3 x 269

Prime Factorization of 709 is 709

Prime Factorization of 398 is 2 x 199

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(162, 807) = 43578

GCD(162, 807) = ( 162 x 807 ) / 43578

GCD(162, 807) = 130734 / 43578

GCD(162, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 709

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

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

GCD(3, 709) = 2127 / 2127

GCD(3, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 162, 807, 709, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 767, 532, 856
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• GCD of 601, 203, 143, 476
• GCD of 400, 357, 176, 443

1. What is the GCD of 162, 807, 709, 398?

GCD of 162, 807, 709, 398 is 1

2. Where do I get the detailed procedure to find GCD of 162, 807, 709, 398?

You can find a detailed procedure to find GCD of 162, 807, 709, 398 on our page.

3. How to find GCD of 162, 807, 709, 398 on a calculator?

You can find the GCD of 162, 807, 709, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.