GCD of 153, 418, 73, 644 Calculator

Given Input numbers are 153, 418, 73, 644

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 73

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

1, 73

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 153, 418, 73, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 418, 73, 644 is 1.

Therefore, GCD of numbers 153, 418, 73, 644 is 1

Given Input Data is 153, 418, 73, 644

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 418 is 2 x 11 x 19

Prime Factorization of 73 is 73

Prime Factorization of 644 is 2 x 2 x 7 x 23

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, 418) = 63954

GCD(153, 418) = ( 153 x 418 ) / 63954

GCD(153, 418) = 63954 / 63954

GCD(153, 418) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 153, 418, 73, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 925, 37, 767
• GCD of 517, 488, 17, 714
• GCD of 667, 367, 30, 408
• GCD of 189, 309, 57, 382
• GCD of 516, 677, 47, 512

1. What is the GCD of 153, 418, 73, 644?

GCD of 153, 418, 73, 644 is 1

2. Where do I get the detailed procedure to find GCD of 153, 418, 73, 644?

You can find a detailed procedure to find GCD of 153, 418, 73, 644 on our page.

3. How to find GCD of 153, 418, 73, 644 on a calculator?

You can find the GCD of 153, 418, 73, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.