GCD of 756, 527, 689, 384 Calculator

Given Input numbers are 756, 527, 689, 384

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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

Greatest Common Divisior

We found the divisors of 756, 527, 689, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 527, 689, 384 is 1.

Therefore, GCD of numbers 756, 527, 689, 384 is 1

Given Input Data is 756, 527, 689, 384

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 527 is 17 x 31

Prime Factorization of 689 is 13 x 53

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

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, 527) = 398412

GCD(756, 527) = ( 756 x 527 ) / 398412

GCD(756, 527) = 398412 / 398412

GCD(756, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

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

GCD of 756, 527, 689, 384 is 1

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1. What is the GCD of 756, 527, 689, 384?

GCD of 756, 527, 689, 384 is 1

2. Where do I get the detailed procedure to find GCD of 756, 527, 689, 384?

You can find a detailed procedure to find GCD of 756, 527, 689, 384 on our page.

3. How to find GCD of 756, 527, 689, 384 on a calculator?

You can find the GCD of 756, 527, 689, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.