GCD of 829, 371, 45, 798 Calculator

Given Input numbers are 829, 371, 45, 798

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

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

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

Greatest Common Divisior

We found the divisors of 829, 371, 45, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 371, 45, 798 is 1.

Therefore, GCD of numbers 829, 371, 45, 798 is 1

Given Input Data is 829, 371, 45, 798

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

Prime Factorization of 829 is 829

Prime Factorization of 371 is 7 x 53

Prime Factorization of 45 is 3 x 3 x 5

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

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(829, 371) = 307559

GCD(829, 371) = ( 829 x 371 ) / 307559

GCD(829, 371) = 307559 / 307559

GCD(829, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 829, 371, 45, 798 is 1

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• GCD of 246, 608, 58, 343
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1. What is the GCD of 829, 371, 45, 798?

GCD of 829, 371, 45, 798 is 1

2. Where do I get the detailed procedure to find GCD of 829, 371, 45, 798?

You can find a detailed procedure to find GCD of 829, 371, 45, 798 on our page.

3. How to find GCD of 829, 371, 45, 798 on a calculator?

You can find the GCD of 829, 371, 45, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.