GCD of 823, 972, 960, 685 Calculator

Given Input numbers are 823, 972, 960, 685

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 823, 972, 960, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 972, 960, 685 is 1.

Therefore, GCD of numbers 823, 972, 960, 685 is 1

Given Input Data is 823, 972, 960, 685

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

Prime Factorization of 823 is 823

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 685 is 5 x 137

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, 972) = 799956

GCD(823, 972) = ( 823 x 972 ) / 799956

GCD(823, 972) = 799956 / 799956

GCD(823, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 823, 972, 960, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 747, 171, 133, 415
• GCD of 901, 324, 432, 405
• GCD of 649, 411, 779, 656
• GCD of 427, 112, 722, 646
• GCD of 932, 111, 508, 743

1. What is the GCD of 823, 972, 960, 685?

GCD of 823, 972, 960, 685 is 1

2. Where do I get the detailed procedure to find GCD of 823, 972, 960, 685?

You can find a detailed procedure to find GCD of 823, 972, 960, 685 on our page.

3. How to find GCD of 823, 972, 960, 685 on a calculator?

You can find the GCD of 823, 972, 960, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.