GCD of 153, 561, 47, 649 Calculator

Given Input numbers are 153, 561, 47, 649

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 47

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

1, 47

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 153, 561, 47, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 561, 47, 649 is 1.

Therefore, GCD of numbers 153, 561, 47, 649 is 1

Given Input Data is 153, 561, 47, 649

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 47 is 47

Prime Factorization of 649 is 11 x 59

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(153, 561) = 1683

GCD(153, 561) = ( 153 x 561 ) / 1683

GCD(153, 561) = 85833 / 1683

GCD(153, 561) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 47

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

LCM(51, 47) = 2397

GCD(51, 47) = ( 51 x 47 ) / 2397

GCD(51, 47) = 2397 / 2397

GCD(51, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 153, 561, 47, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 647, 44, 570
• GCD of 379, 897, 23, 238
• GCD of 451, 110, 21, 647
• GCD of 675, 428, 12, 665
• GCD of 853, 265, 16, 226

1. What is the GCD of 153, 561, 47, 649?

GCD of 153, 561, 47, 649 is 1

2. Where do I get the detailed procedure to find GCD of 153, 561, 47, 649?

You can find a detailed procedure to find GCD of 153, 561, 47, 649 on our page.

3. How to find GCD of 153, 561, 47, 649 on a calculator?

You can find the GCD of 153, 561, 47, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.