GCD of 823, 123, 972, 715 Calculator

Given Input numbers are 823, 123, 972, 715

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 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

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 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 823, 123, 972, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 123, 972, 715 is 1.

Therefore, GCD of numbers 823, 123, 972, 715 is 1

Given Input Data is 823, 123, 972, 715

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

Prime Factorization of 823 is 823

Prime Factorization of 123 is 3 x 41

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

Prime Factorization of 715 is 5 x 11 x 13

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, 123) = 101229

GCD(823, 123) = ( 823 x 123 ) / 101229

GCD(823, 123) = 101229 / 101229

GCD(823, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 823, 123, 972, 715 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 264, 481, 745
• GCD of 398, 647, 185, 650
• GCD of 905, 568, 409, 698
• GCD of 465, 267, 401, 467
• GCD of 102, 754, 479, 119

1. What is the GCD of 823, 123, 972, 715?

GCD of 823, 123, 972, 715 is 1

2. Where do I get the detailed procedure to find GCD of 823, 123, 972, 715?

You can find a detailed procedure to find GCD of 823, 123, 972, 715 on our page.

3. How to find GCD of 823, 123, 972, 715 on a calculator?

You can find the GCD of 823, 123, 972, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.