GCD of 798, 343, 82, 772 Calculator

Given Input numbers are 798, 343, 82, 772

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 798, 343, 82, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 343, 82, 772 is 1.

Therefore, GCD of numbers 798, 343, 82, 772 is 1

Given Input Data is 798, 343, 82, 772

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 82 is 2 x 41

Prime Factorization of 772 is 2 x 2 x 193

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(798, 343) = 39102

GCD(798, 343) = ( 798 x 343 ) / 39102

GCD(798, 343) = 273714 / 39102

GCD(798, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 82

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

LCM(7, 82) = 574

GCD(7, 82) = ( 7 x 82 ) / 574

GCD(7, 82) = 574 / 574

GCD(7, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 798, 343, 82, 772 is 1

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• GCD of 111, 897, 20, 760
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• GCD of 792, 590, 75, 797

1. What is the GCD of 798, 343, 82, 772?

GCD of 798, 343, 82, 772 is 1

2. Where do I get the detailed procedure to find GCD of 798, 343, 82, 772?

You can find a detailed procedure to find GCD of 798, 343, 82, 772 on our page.

3. How to find GCD of 798, 343, 82, 772 on a calculator?

You can find the GCD of 798, 343, 82, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.