GCD of 657, 664, 541, 822 Calculator

Given Input numbers are 657, 664, 541, 822

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 664

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

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 657, 664, 541, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 664, 541, 822 is 1.

Therefore, GCD of numbers 657, 664, 541, 822 is 1

Given Input Data is 657, 664, 541, 822

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

Prime Factorization of 657 is 3 x 3 x 73

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

Prime Factorization of 541 is 541

Prime Factorization of 822 is 2 x 3 x 137

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(657, 664) = 436248

GCD(657, 664) = ( 657 x 664 ) / 436248

GCD(657, 664) = 436248 / 436248

GCD(657, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 822

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

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

GCD(1, 822) = 822 / 822

GCD(1, 822) = 1

GCD of 657, 664, 541, 822 is 1

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1. What is the GCD of 657, 664, 541, 822?

GCD of 657, 664, 541, 822 is 1

2. Where do I get the detailed procedure to find GCD of 657, 664, 541, 822?

You can find a detailed procedure to find GCD of 657, 664, 541, 822 on our page.

3. How to find GCD of 657, 664, 541, 822 on a calculator?

You can find the GCD of 657, 664, 541, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.