GCD of 123, 887, 702, 523 Calculator

Given Input numbers are 123, 887, 702, 523

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 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 123, 887, 702, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 887, 702, 523 is 1.

Therefore, GCD of numbers 123, 887, 702, 523 is 1

Given Input Data is 123, 887, 702, 523

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 887 is 887

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 523 is 523

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, 887) = 109101

GCD(123, 887) = ( 123 x 887 ) / 109101

GCD(123, 887) = 109101 / 109101

GCD(123, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 123, 887, 702, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 988, 790, 862
• GCD of 518, 451, 498, 205
• GCD of 394, 928, 815, 678
• GCD of 646, 131, 813, 926
• GCD of 279, 685, 764, 270

1. What is the GCD of 123, 887, 702, 523?

GCD of 123, 887, 702, 523 is 1

2. Where do I get the detailed procedure to find GCD of 123, 887, 702, 523?

You can find a detailed procedure to find GCD of 123, 887, 702, 523 on our page.

3. How to find GCD of 123, 887, 702, 523 on a calculator?

You can find the GCD of 123, 887, 702, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.