GCD of 96, 724, 853, 457 Calculator

Given Input numbers are 96, 724, 853, 457

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 96, 724, 853, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 724, 853, 457 is 1.

Therefore, GCD of numbers 96, 724, 853, 457 is 1

Given Input Data is 96, 724, 853, 457

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 853 is 853

Prime Factorization of 457 is 457

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(96, 724) = 17376

GCD(96, 724) = ( 96 x 724 ) / 17376

GCD(96, 724) = 69504 / 17376

GCD(96, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 853

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

LCM(4, 853) = 3412

GCD(4, 853) = ( 4 x 853 ) / 3412

GCD(4, 853) = 3412 / 3412

GCD(4, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 96, 724, 853, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 970, 612, 990
• GCD of 31, 660, 787, 358
• GCD of 18, 537, 272, 438
• GCD of 51, 132, 456, 754
• GCD of 29, 612, 439, 402

1. What is the GCD of 96, 724, 853, 457?

GCD of 96, 724, 853, 457 is 1

2. Where do I get the detailed procedure to find GCD of 96, 724, 853, 457?

You can find a detailed procedure to find GCD of 96, 724, 853, 457 on our page.

3. How to find GCD of 96, 724, 853, 457 on a calculator?

You can find the GCD of 96, 724, 853, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.