GCD of 532, 297, 774, 535 Calculator

Given Input numbers are 532, 297, 774, 535

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 535

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

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 532, 297, 774, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 297, 774, 535 is 1.

Therefore, GCD of numbers 532, 297, 774, 535 is 1

Given Input Data is 532, 297, 774, 535

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 535 is 5 x 107

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(532, 297) = 158004

GCD(532, 297) = ( 532 x 297 ) / 158004

GCD(532, 297) = 158004 / 158004

GCD(532, 297) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

Step3:

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

GCD of 532, 297, 774, 535 is 1

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1. What is the GCD of 532, 297, 774, 535?

GCD of 532, 297, 774, 535 is 1

2. Where do I get the detailed procedure to find GCD of 532, 297, 774, 535?

You can find a detailed procedure to find GCD of 532, 297, 774, 535 on our page.

3. How to find GCD of 532, 297, 774, 535 on a calculator?

You can find the GCD of 532, 297, 774, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.