GCD of 791, 322, 160, 508 Calculator

Given Input numbers are 791, 322, 160, 508

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 791, 322, 160, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 322, 160, 508 is 1.

Therefore, GCD of numbers 791, 322, 160, 508 is 1

Given Input Data is 791, 322, 160, 508

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

Prime Factorization of 791 is 7 x 113

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 508 is 2 x 2 x 127

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(791, 322) = 36386

GCD(791, 322) = ( 791 x 322 ) / 36386

GCD(791, 322) = 254702 / 36386

GCD(791, 322) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 160

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

LCM(7, 160) = 1120

GCD(7, 160) = ( 7 x 160 ) / 1120

GCD(7, 160) = 1120 / 1120

GCD(7, 160) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 791, 322, 160, 508 is 1

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1. What is the GCD of 791, 322, 160, 508?

GCD of 791, 322, 160, 508 is 1

2. Where do I get the detailed procedure to find GCD of 791, 322, 160, 508?

You can find a detailed procedure to find GCD of 791, 322, 160, 508 on our page.

3. How to find GCD of 791, 322, 160, 508 on a calculator?

You can find the GCD of 791, 322, 160, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.