GCD of 823, 965, 47, 460 Calculator

Given Input numbers are 823, 965, 47, 460

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 823, 965, 47, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 965, 47, 460 is 1.

Therefore, GCD of numbers 823, 965, 47, 460 is 1

Given Input Data is 823, 965, 47, 460

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

Prime Factorization of 823 is 823

Prime Factorization of 965 is 5 x 193

Prime Factorization of 47 is 47

Prime Factorization of 460 is 2 x 2 x 5 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(823, 965) = 794195

GCD(823, 965) = ( 823 x 965 ) / 794195

GCD(823, 965) = 794195 / 794195

GCD(823, 965) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 823, 965, 47, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 738, 33, 563
• GCD of 224, 754, 13, 123
• GCD of 374, 724, 36, 447
• GCD of 474, 831, 27, 584
• GCD of 365, 904, 60, 807

1. What is the GCD of 823, 965, 47, 460?

GCD of 823, 965, 47, 460 is 1

2. Where do I get the detailed procedure to find GCD of 823, 965, 47, 460?

You can find a detailed procedure to find GCD of 823, 965, 47, 460 on our page.

3. How to find GCD of 823, 965, 47, 460 on a calculator?

You can find the GCD of 823, 965, 47, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.