GCD of 732, 512, 218, 889 Calculator

Given Input numbers are 732, 512, 218, 889

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

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 732, 512, 218, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 512, 218, 889 is 1.

Therefore, GCD of numbers 732, 512, 218, 889 is 1

Given Input Data is 732, 512, 218, 889

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

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 218 is 2 x 109

Prime Factorization of 889 is 7 x 127

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(732, 512) = 93696

GCD(732, 512) = ( 732 x 512 ) / 93696

GCD(732, 512) = 374784 / 93696

GCD(732, 512) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 218

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

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

GCD(4, 218) = 872 / 436

GCD(4, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

GCD of 732, 512, 218, 889 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 240, 593, 242, 303
• GCD of 248, 901, 900, 158
• GCD of 591, 372, 550, 919
• GCD of 473, 550, 721, 418
• GCD of 900, 552, 284, 790

1. What is the GCD of 732, 512, 218, 889?

GCD of 732, 512, 218, 889 is 1

2. Where do I get the detailed procedure to find GCD of 732, 512, 218, 889?

You can find a detailed procedure to find GCD of 732, 512, 218, 889 on our page.

3. How to find GCD of 732, 512, 218, 889 on a calculator?

You can find the GCD of 732, 512, 218, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.