GCD of 896, 953, 95, 723 Calculator

Given Input numbers are 896, 953, 95, 723

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 896, 953, 95, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 953, 95, 723 is 1.

Therefore, GCD of numbers 896, 953, 95, 723 is 1

Given Input Data is 896, 953, 95, 723

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 953 is 953

Prime Factorization of 95 is 5 x 19

Prime Factorization of 723 is 3 x 241

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(896, 953) = 853888

GCD(896, 953) = ( 896 x 953 ) / 853888

GCD(896, 953) = 853888 / 853888

GCD(896, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

GCD of 896, 953, 95, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 900, 39, 134
• GCD of 400, 242, 86, 642
• GCD of 426, 428, 52, 106
• GCD of 593, 557, 22, 593
• GCD of 494, 108, 93, 293

1. What is the GCD of 896, 953, 95, 723?

GCD of 896, 953, 95, 723 is 1

2. Where do I get the detailed procedure to find GCD of 896, 953, 95, 723?

You can find a detailed procedure to find GCD of 896, 953, 95, 723 on our page.

3. How to find GCD of 896, 953, 95, 723 on a calculator?

You can find the GCD of 896, 953, 95, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.