GCD of 552, 943, 382, 765 Calculator

Given Input numbers are 552, 943, 382, 765

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 552, 943, 382, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 943, 382, 765 is 1.

Therefore, GCD of numbers 552, 943, 382, 765 is 1

Given Input Data is 552, 943, 382, 765

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 943 is 23 x 41

Prime Factorization of 382 is 2 x 191

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(552, 943) = 22632

GCD(552, 943) = ( 552 x 943 ) / 22632

GCD(552, 943) = 520536 / 22632

GCD(552, 943) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 382

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

LCM(23, 382) = 8786

GCD(23, 382) = ( 23 x 382 ) / 8786

GCD(23, 382) = 8786 / 8786

GCD(23, 382) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 552, 943, 382, 765 is 1

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1. What is the GCD of 552, 943, 382, 765?

GCD of 552, 943, 382, 765 is 1

2. Where do I get the detailed procedure to find GCD of 552, 943, 382, 765?

You can find a detailed procedure to find GCD of 552, 943, 382, 765 on our page.

3. How to find GCD of 552, 943, 382, 765 on a calculator?

You can find the GCD of 552, 943, 382, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.