GCD of 892, 532, 75, 232 Calculator

Given Input numbers are 892, 532, 75, 232

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 892, 532, 75, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 532, 75, 232 is 1.

Therefore, GCD of numbers 892, 532, 75, 232 is 1

Given Input Data is 892, 532, 75, 232

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

Prime Factorization of 892 is 2 x 2 x 223

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(892, 532) = 118636

GCD(892, 532) = ( 892 x 532 ) / 118636

GCD(892, 532) = 474544 / 118636

GCD(892, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 232

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

LCM(1, 232) = 232

GCD(1, 232) = ( 1 x 232 ) / 232

GCD(1, 232) = 232 / 232

GCD(1, 232) = 1

GCD of 892, 532, 75, 232 is 1

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1. What is the GCD of 892, 532, 75, 232?

GCD of 892, 532, 75, 232 is 1

2. Where do I get the detailed procedure to find GCD of 892, 532, 75, 232?

You can find a detailed procedure to find GCD of 892, 532, 75, 232 on our page.

3. How to find GCD of 892, 532, 75, 232 on a calculator?

You can find the GCD of 892, 532, 75, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.