GCD of 738, 529, 515, 476 Calculator

Given Input numbers are 738, 529, 515, 476

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 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 738, 529, 515, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 529, 515, 476 is 1.

Therefore, GCD of numbers 738, 529, 515, 476 is 1

Given Input Data is 738, 529, 515, 476

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 529 is 23 x 23

Prime Factorization of 515 is 5 x 103

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 529) = 390402

GCD(738, 529) = ( 738 x 529 ) / 390402

GCD(738, 529) = 390402 / 390402

GCD(738, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 738, 529, 515, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 884, 470, 213
• GCD of 275, 875, 742, 119
• GCD of 117, 334, 643, 631
• GCD of 886, 597, 219, 872
• GCD of 655, 317, 208, 475

1. What is the GCD of 738, 529, 515, 476?

GCD of 738, 529, 515, 476 is 1

2. Where do I get the detailed procedure to find GCD of 738, 529, 515, 476?

You can find a detailed procedure to find GCD of 738, 529, 515, 476 on our page.

3. How to find GCD of 738, 529, 515, 476 on a calculator?

You can find the GCD of 738, 529, 515, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.