GCD of 535, 822, 105, 592 Calculator

Given Input numbers are 535, 822, 105, 592

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 535, 822, 105, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 822, 105, 592 is 1.

Therefore, GCD of numbers 535, 822, 105, 592 is 1

Given Input Data is 535, 822, 105, 592

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(535, 822) = 439770

GCD(535, 822) = ( 535 x 822 ) / 439770

GCD(535, 822) = 439770 / 439770

GCD(535, 822) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 535, 822, 105, 592 is 1

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1. What is the GCD of 535, 822, 105, 592?

GCD of 535, 822, 105, 592 is 1

2. Where do I get the detailed procedure to find GCD of 535, 822, 105, 592?

You can find a detailed procedure to find GCD of 535, 822, 105, 592 on our page.

3. How to find GCD of 535, 822, 105, 592 on a calculator?

You can find the GCD of 535, 822, 105, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.