GCD of 359, 697, 819, 145 Calculator

Given Input numbers are 359, 697, 819, 145

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 145

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

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 359, 697, 819, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 697, 819, 145 is 1.

Therefore, GCD of numbers 359, 697, 819, 145 is 1

Given Input Data is 359, 697, 819, 145

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

Prime Factorization of 359 is 359

Prime Factorization of 697 is 17 x 41

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 145 is 5 x 29

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(359, 697) = 250223

GCD(359, 697) = ( 359 x 697 ) / 250223

GCD(359, 697) = 250223 / 250223

GCD(359, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

Step3:

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

GCD of 359, 697, 819, 145 is 1

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1. What is the GCD of 359, 697, 819, 145?

GCD of 359, 697, 819, 145 is 1

2. Where do I get the detailed procedure to find GCD of 359, 697, 819, 145?

You can find a detailed procedure to find GCD of 359, 697, 819, 145 on our page.

3. How to find GCD of 359, 697, 819, 145 on a calculator?

You can find the GCD of 359, 697, 819, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.