GCD of 564, 109, 51, 553 Calculator

Given Input numbers are 564, 109, 51, 553

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 564, 109, 51, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 109, 51, 553 is 1.

Therefore, GCD of numbers 564, 109, 51, 553 is 1

Given Input Data is 564, 109, 51, 553

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 109 is 109

Prime Factorization of 51 is 3 x 17

Prime Factorization of 553 is 7 x 79

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, 109) = 61476

GCD(564, 109) = ( 564 x 109 ) / 61476

GCD(564, 109) = 61476 / 61476

GCD(564, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 564, 109, 51, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 459, 71, 304
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• GCD of 665, 168, 22, 873
• GCD of 713, 942, 48, 974
• GCD of 793, 229, 16, 123

1. What is the GCD of 564, 109, 51, 553?

GCD of 564, 109, 51, 553 is 1

2. Where do I get the detailed procedure to find GCD of 564, 109, 51, 553?

You can find a detailed procedure to find GCD of 564, 109, 51, 553 on our page.

3. How to find GCD of 564, 109, 51, 553 on a calculator?

You can find the GCD of 564, 109, 51, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.