GCD of 755, 822, 688, 664 Calculator

Given Input numbers are 755, 822, 688, 664

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 822

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

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 755, 822, 688, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 822, 688, 664 is 1.

Therefore, GCD of numbers 755, 822, 688, 664 is 1

Given Input Data is 755, 822, 688, 664

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(755, 822) = 620610

GCD(755, 822) = ( 755 x 822 ) / 620610

GCD(755, 822) = 620610 / 620610

GCD(755, 822) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 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 755, 822, 688, 664 is 1

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1. What is the GCD of 755, 822, 688, 664?

GCD of 755, 822, 688, 664 is 1

2. Where do I get the detailed procedure to find GCD of 755, 822, 688, 664?

You can find a detailed procedure to find GCD of 755, 822, 688, 664 on our page.

3. How to find GCD of 755, 822, 688, 664 on a calculator?

You can find the GCD of 755, 822, 688, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.