GCD of 756, 530, 593, 160 Calculator

Given Input numbers are 756, 530, 593, 160

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 593

List of positive integer divisors of 593 that divides 593 without a remainder.

1, 593

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 756, 530, 593, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 530, 593, 160 is 1.

Therefore, GCD of numbers 756, 530, 593, 160 is 1

Given Input Data is 756, 530, 593, 160

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 593 is 593

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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(756, 530) = 200340

GCD(756, 530) = ( 756 x 530 ) / 200340

GCD(756, 530) = 400680 / 200340

GCD(756, 530) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 593

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

LCM(2, 593) = 1186

GCD(2, 593) = ( 2 x 593 ) / 1186

GCD(2, 593) = 1186 / 1186

GCD(2, 593) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 756, 530, 593, 160 is 1

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1. What is the GCD of 756, 530, 593, 160?

GCD of 756, 530, 593, 160 is 1

2. Where do I get the detailed procedure to find GCD of 756, 530, 593, 160?

You can find a detailed procedure to find GCD of 756, 530, 593, 160 on our page.

3. How to find GCD of 756, 530, 593, 160 on a calculator?

You can find the GCD of 756, 530, 593, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.