GCD of 690, 784, 73, 564 Calculator

Given Input numbers are 690, 784, 73, 564

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 690, 784, 73, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 784, 73, 564 is 1.

Therefore, GCD of numbers 690, 784, 73, 564 is 1

Given Input Data is 690, 784, 73, 564

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 73 is 73

Prime Factorization of 564 is 2 x 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(690, 784) = 270480

GCD(690, 784) = ( 690 x 784 ) / 270480

GCD(690, 784) = 540960 / 270480

GCD(690, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 690, 784, 73, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 238, 34, 158
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• GCD of 815, 640, 39, 258
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• GCD of 261, 764, 78, 826

1. What is the GCD of 690, 784, 73, 564?

GCD of 690, 784, 73, 564 is 1

2. Where do I get the detailed procedure to find GCD of 690, 784, 73, 564?

You can find a detailed procedure to find GCD of 690, 784, 73, 564 on our page.

3. How to find GCD of 690, 784, 73, 564 on a calculator?

You can find the GCD of 690, 784, 73, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.