GCD of 538, 991, 535, 322 Calculator

Given Input numbers are 538, 991, 535, 322

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 535

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

1, 5, 107, 535

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 538, 991, 535, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 991, 535, 322 is 1.

Therefore, GCD of numbers 538, 991, 535, 322 is 1

Given Input Data is 538, 991, 535, 322

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 991 is 991

Prime Factorization of 535 is 5 x 107

Prime Factorization of 322 is 2 x 7 x 23

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(538, 991) = 533158

GCD(538, 991) = ( 538 x 991 ) / 533158

GCD(538, 991) = 533158 / 533158

GCD(538, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 538, 991, 535, 322 is 1

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1. What is the GCD of 538, 991, 535, 322?

GCD of 538, 991, 535, 322 is 1

2. Where do I get the detailed procedure to find GCD of 538, 991, 535, 322?

You can find a detailed procedure to find GCD of 538, 991, 535, 322 on our page.

3. How to find GCD of 538, 991, 535, 322 on a calculator?

You can find the GCD of 538, 991, 535, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.