GCD of 564, 780, 47, 733 Calculator

Given Input numbers are 564, 780, 47, 733

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

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 564, 780, 47, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 780, 47, 733 is 1.

Therefore, GCD of numbers 564, 780, 47, 733 is 1

Given Input Data is 564, 780, 47, 733

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 47 is 47

Prime Factorization of 733 is 733

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(564, 780) = 36660

GCD(564, 780) = ( 564 x 780 ) / 36660

GCD(564, 780) = 439920 / 36660

GCD(564, 780) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 47

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

LCM(12, 47) = 564

GCD(12, 47) = ( 12 x 47 ) / 564

GCD(12, 47) = 564 / 564

GCD(12, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 564, 780, 47, 733 is 1

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• GCD of 576, 241, 12, 862
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• GCD of 167, 470, 45, 877
• GCD of 120, 153, 15, 267

1. What is the GCD of 564, 780, 47, 733?

GCD of 564, 780, 47, 733 is 1

2. Where do I get the detailed procedure to find GCD of 564, 780, 47, 733?

You can find a detailed procedure to find GCD of 564, 780, 47, 733 on our page.

3. How to find GCD of 564, 780, 47, 733 on a calculator?

You can find the GCD of 564, 780, 47, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.