GCD of 564, 396, 69, 775 Calculator

Given Input numbers are 564, 396, 69, 775

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 564, 396, 69, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 396, 69, 775 is 1.

Therefore, GCD of numbers 564, 396, 69, 775 is 1

Given Input Data is 564, 396, 69, 775

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 775 is 5 x 5 x 31

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, 396) = 18612

GCD(564, 396) = ( 564 x 396 ) / 18612

GCD(564, 396) = 223344 / 18612

GCD(564, 396) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 69

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

LCM(12, 69) = 276

GCD(12, 69) = ( 12 x 69 ) / 276

GCD(12, 69) = 828 / 276

GCD(12, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 775

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

LCM(3, 775) = 2325

GCD(3, 775) = ( 3 x 775 ) / 2325

GCD(3, 775) = 2325 / 2325

GCD(3, 775) = 1

GCD of 564, 396, 69, 775 is 1

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• GCD of 554, 179, 42, 874
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• GCD of 544, 580, 27, 745
• GCD of 161, 111, 41, 623
• GCD of 733, 461, 54, 915

1. What is the GCD of 564, 396, 69, 775?

GCD of 564, 396, 69, 775 is 1

2. Where do I get the detailed procedure to find GCD of 564, 396, 69, 775?

You can find a detailed procedure to find GCD of 564, 396, 69, 775 on our page.

3. How to find GCD of 564, 396, 69, 775 on a calculator?

You can find the GCD of 564, 396, 69, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.