GCD of 738, 135, 523, 523 Calculator

Given Input numbers are 738, 135, 523, 523

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 523

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

1, 523

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 738, 135, 523, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 135, 523, 523 is 1.

Therefore, GCD of numbers 738, 135, 523, 523 is 1

Given Input Data is 738, 135, 523, 523

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 523 is 523

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(738, 135) = 11070

GCD(738, 135) = ( 738 x 135 ) / 11070

GCD(738, 135) = 99630 / 11070

GCD(738, 135) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 523

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

LCM(9, 523) = 4707

GCD(9, 523) = ( 9 x 523 ) / 4707

GCD(9, 523) = 4707 / 4707

GCD(9, 523) = 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 738, 135, 523, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 927, 322, 640
• GCD of 144, 424, 492, 555
• GCD of 242, 404, 980, 986
• GCD of 401, 204, 891, 429
• GCD of 208, 288, 140, 752

1. What is the GCD of 738, 135, 523, 523?

GCD of 738, 135, 523, 523 is 1

2. Where do I get the detailed procedure to find GCD of 738, 135, 523, 523?

You can find a detailed procedure to find GCD of 738, 135, 523, 523 on our page.

3. How to find GCD of 738, 135, 523, 523 on a calculator?

You can find the GCD of 738, 135, 523, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.