GCD of 738, 524, 29, 478 Calculator

Given Input numbers are 738, 524, 29, 478

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 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 738, 524, 29, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 524, 29, 478 is 1.

Therefore, GCD of numbers 738, 524, 29, 478 is 1

Given Input Data is 738, 524, 29, 478

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 524 is 2 x 2 x 131

Prime Factorization of 29 is 29

Prime Factorization of 478 is 2 x 239

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, 524) = 193356

GCD(738, 524) = ( 738 x 524 ) / 193356

GCD(738, 524) = 386712 / 193356

GCD(738, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 738, 524, 29, 478 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 239, 20, 517
• GCD of 166, 527, 77, 823
• GCD of 141, 545, 92, 565
• GCD of 202, 742, 68, 805
• GCD of 546, 331, 16, 933

1. What is the GCD of 738, 524, 29, 478?

GCD of 738, 524, 29, 478 is 1

2. Where do I get the detailed procedure to find GCD of 738, 524, 29, 478?

You can find a detailed procedure to find GCD of 738, 524, 29, 478 on our page.

3. How to find GCD of 738, 524, 29, 478 on a calculator?

You can find the GCD of 738, 524, 29, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.