GCD of 123, 533, 76, 168 Calculator

Given Input numbers are 123, 533, 76, 168

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

Divisors of 123

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

1, 3, 41, 123

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 123, 533, 76, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 533, 76, 168 is 1.

Therefore, GCD of numbers 123, 533, 76, 168 is 1

Given Input Data is 123, 533, 76, 168

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 533 is 13 x 41

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(123, 533) = 1599

GCD(123, 533) = ( 123 x 533 ) / 1599

GCD(123, 533) = 65559 / 1599

GCD(123, 533) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 76

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

LCM(41, 76) = 3116

GCD(41, 76) = ( 41 x 76 ) / 3116

GCD(41, 76) = 3116 / 3116

GCD(41, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 123, 533, 76, 168 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 320, 19, 655
• GCD of 442, 619, 13, 907
• GCD of 689, 310, 37, 916
• GCD of 533, 587, 92, 268
• GCD of 733, 418, 35, 728

1. What is the GCD of 123, 533, 76, 168?

GCD of 123, 533, 76, 168 is 1

2. Where do I get the detailed procedure to find GCD of 123, 533, 76, 168?

You can find a detailed procedure to find GCD of 123, 533, 76, 168 on our page.

3. How to find GCD of 123, 533, 76, 168 on a calculator?

You can find the GCD of 123, 533, 76, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.