GCD of 829, 504, 145, 803 Calculator

Given Input numbers are 829, 504, 145, 803

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 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 829, 504, 145, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 829, 504, 145, 803 is 1.

Therefore, GCD of numbers 829, 504, 145, 803 is 1

Given Input Data is 829, 504, 145, 803

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

Prime Factorization of 829 is 829

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 145 is 5 x 29

Prime Factorization of 803 is 11 x 73

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, 504) = 417816

GCD(829, 504) = ( 829 x 504 ) / 417816

GCD(829, 504) = 417816 / 417816

GCD(829, 504) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 803

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

LCM(1, 803) = 803

GCD(1, 803) = ( 1 x 803 ) / 803

GCD(1, 803) = 803 / 803

GCD(1, 803) = 1

GCD of 829, 504, 145, 803 is 1

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1. What is the GCD of 829, 504, 145, 803?

GCD of 829, 504, 145, 803 is 1

2. Where do I get the detailed procedure to find GCD of 829, 504, 145, 803?

You can find a detailed procedure to find GCD of 829, 504, 145, 803 on our page.

3. How to find GCD of 829, 504, 145, 803 on a calculator?

You can find the GCD of 829, 504, 145, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.