GCD of 782, 395, 722, 339 Calculator

Given Input numbers are 782, 395, 722, 339

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 782, 395, 722, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 395, 722, 339 is 1.

Therefore, GCD of numbers 782, 395, 722, 339 is 1

Given Input Data is 782, 395, 722, 339

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 395 is 5 x 79

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 339 is 3 x 113

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(782, 395) = 308890

GCD(782, 395) = ( 782 x 395 ) / 308890

GCD(782, 395) = 308890 / 308890

GCD(782, 395) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 782, 395, 722, 339 is 1

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• GCD of 150, 617, 680, 895
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1. What is the GCD of 782, 395, 722, 339?

GCD of 782, 395, 722, 339 is 1

2. Where do I get the detailed procedure to find GCD of 782, 395, 722, 339?

You can find a detailed procedure to find GCD of 782, 395, 722, 339 on our page.

3. How to find GCD of 782, 395, 722, 339 on a calculator?

You can find the GCD of 782, 395, 722, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.