GCD of 759, 188, 345, 282 Calculator

Given Input numbers are 759, 188, 345, 282

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 759, 188, 345, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 188, 345, 282 is 1.

Therefore, GCD of numbers 759, 188, 345, 282 is 1

Given Input Data is 759, 188, 345, 282

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 282 is 2 x 3 x 47

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(759, 188) = 142692

GCD(759, 188) = ( 759 x 188 ) / 142692

GCD(759, 188) = 142692 / 142692

GCD(759, 188) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 759, 188, 345, 282 is 1

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1. What is the GCD of 759, 188, 345, 282?

GCD of 759, 188, 345, 282 is 1

2. Where do I get the detailed procedure to find GCD of 759, 188, 345, 282?

You can find a detailed procedure to find GCD of 759, 188, 345, 282 on our page.

3. How to find GCD of 759, 188, 345, 282 on a calculator?

You can find the GCD of 759, 188, 345, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.