GCD of 119, 256, 732, 828 Calculator

Given Input numbers are 119, 256, 732, 828

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

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

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 119, 256, 732, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 256, 732, 828 is 1.

Therefore, GCD of numbers 119, 256, 732, 828 is 1

Given Input Data is 119, 256, 732, 828

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 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(119, 256) = 30464

GCD(119, 256) = ( 119 x 256 ) / 30464

GCD(119, 256) = 30464 / 30464

GCD(119, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 119, 256, 732, 828 is 1

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1. What is the GCD of 119, 256, 732, 828?

GCD of 119, 256, 732, 828 is 1

2. Where do I get the detailed procedure to find GCD of 119, 256, 732, 828?

You can find a detailed procedure to find GCD of 119, 256, 732, 828 on our page.

3. How to find GCD of 119, 256, 732, 828 on a calculator?

You can find the GCD of 119, 256, 732, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.