GCD of 123, 429, 902, 768 Calculator

Given Input numbers are 123, 429, 902, 768

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 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 123, 429, 902, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 429, 902, 768 is 1.

Therefore, GCD of numbers 123, 429, 902, 768 is 1

Given Input Data is 123, 429, 902, 768

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 429) = 17589

GCD(123, 429) = ( 123 x 429 ) / 17589

GCD(123, 429) = 52767 / 17589

GCD(123, 429) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 902

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

LCM(3, 902) = 2706

GCD(3, 902) = ( 3 x 902 ) / 2706

GCD(3, 902) = 2706 / 2706

GCD(3, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 1

GCD of 123, 429, 902, 768 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 476, 760, 708, 431
• GCD of 230, 560, 478, 854
• GCD of 603, 695, 966, 926
• GCD of 576, 635, 674, 211
• GCD of 822, 250, 524, 601

1. What is the GCD of 123, 429, 902, 768?

GCD of 123, 429, 902, 768 is 1

2. Where do I get the detailed procedure to find GCD of 123, 429, 902, 768?

You can find a detailed procedure to find GCD of 123, 429, 902, 768 on our page.

3. How to find GCD of 123, 429, 902, 768 on a calculator?

You can find the GCD of 123, 429, 902, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.