GCD of 733, 142, 820, 664 Calculator

Given Input numbers are 733, 142, 820, 664

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 733, 142, 820, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 142, 820, 664 is 1.

Therefore, GCD of numbers 733, 142, 820, 664 is 1

Given Input Data is 733, 142, 820, 664

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

Prime Factorization of 733 is 733

Prime Factorization of 142 is 2 x 71

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(733, 142) = 104086

GCD(733, 142) = ( 733 x 142 ) / 104086

GCD(733, 142) = 104086 / 104086

GCD(733, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 733, 142, 820, 664 is 1

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1. What is the GCD of 733, 142, 820, 664?

GCD of 733, 142, 820, 664 is 1

2. Where do I get the detailed procedure to find GCD of 733, 142, 820, 664?

You can find a detailed procedure to find GCD of 733, 142, 820, 664 on our page.

3. How to find GCD of 733, 142, 820, 664 on a calculator?

You can find the GCD of 733, 142, 820, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.