GCD of 754, 821, 384, 232 Calculator

Given Input numbers are 754, 821, 384, 232

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 754, 821, 384, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 821, 384, 232 is 1.

Therefore, GCD of numbers 754, 821, 384, 232 is 1

Given Input Data is 754, 821, 384, 232

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 821 is 821

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(754, 821) = 619034

GCD(754, 821) = ( 754 x 821 ) / 619034

GCD(754, 821) = 619034 / 619034

GCD(754, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 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 754, 821, 384, 232 is 1

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1. What is the GCD of 754, 821, 384, 232?

GCD of 754, 821, 384, 232 is 1

2. Where do I get the detailed procedure to find GCD of 754, 821, 384, 232?

You can find a detailed procedure to find GCD of 754, 821, 384, 232 on our page.

3. How to find GCD of 754, 821, 384, 232 on a calculator?

You can find the GCD of 754, 821, 384, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.