GCD of 32, 532, 290, 775 Calculator

Given Input numbers are 32, 532, 290, 775

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 32, 532, 290, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 532, 290, 775 is 1.

Therefore, GCD of numbers 32, 532, 290, 775 is 1

Given Input Data is 32, 532, 290, 775

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 775 is 5 x 5 x 31

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(32, 532) = 4256

GCD(32, 532) = ( 32 x 532 ) / 4256

GCD(32, 532) = 17024 / 4256

GCD(32, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 290

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

LCM(4, 290) = 580

GCD(4, 290) = ( 4 x 290 ) / 580

GCD(4, 290) = 1160 / 580

GCD(4, 290) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 775

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

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

GCD(2, 775) = 1550 / 1550

GCD(2, 775) = 1

GCD of 32, 532, 290, 775 is 1

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• GCD of 10, 311, 837, 624
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1. What is the GCD of 32, 532, 290, 775?

GCD of 32, 532, 290, 775 is 1

2. Where do I get the detailed procedure to find GCD of 32, 532, 290, 775?

You can find a detailed procedure to find GCD of 32, 532, 290, 775 on our page.

3. How to find GCD of 32, 532, 290, 775 on a calculator?

You can find the GCD of 32, 532, 290, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.