GCD of 320, 728, 926, 153 Calculator

Given Input numbers are 320, 728, 926, 153

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 153

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

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 320, 728, 926, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 728, 926, 153 is 1.

Therefore, GCD of numbers 320, 728, 926, 153 is 1

Given Input Data is 320, 728, 926, 153

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 926 is 2 x 463

Prime Factorization of 153 is 3 x 3 x 17

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(320, 728) = 29120

GCD(320, 728) = ( 320 x 728 ) / 29120

GCD(320, 728) = 232960 / 29120

GCD(320, 728) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 926

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

LCM(8, 926) = 3704

GCD(8, 926) = ( 8 x 926 ) / 3704

GCD(8, 926) = 7408 / 3704

GCD(8, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 320, 728, 926, 153 is 1

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1. What is the GCD of 320, 728, 926, 153?

GCD of 320, 728, 926, 153 is 1

2. Where do I get the detailed procedure to find GCD of 320, 728, 926, 153?

You can find a detailed procedure to find GCD of 320, 728, 926, 153 on our page.

3. How to find GCD of 320, 728, 926, 153 on a calculator?

You can find the GCD of 320, 728, 926, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.