GCD of 738, 543, 74, 301 Calculator

Given Input numbers are 738, 543, 74, 301

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 738, 543, 74, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 543, 74, 301 is 1.

Therefore, GCD of numbers 738, 543, 74, 301 is 1

Given Input Data is 738, 543, 74, 301

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 543 is 3 x 181

Prime Factorization of 74 is 2 x 37

Prime Factorization of 301 is 7 x 43

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, 543) = 133578

GCD(738, 543) = ( 738 x 543 ) / 133578

GCD(738, 543) = 400734 / 133578

GCD(738, 543) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 738, 543, 74, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 791, 62, 108
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• GCD of 195, 465, 70, 484
• GCD of 339, 732, 36, 558
• GCD of 639, 847, 46, 384

1. What is the GCD of 738, 543, 74, 301?

GCD of 738, 543, 74, 301 is 1

2. Where do I get the detailed procedure to find GCD of 738, 543, 74, 301?

You can find a detailed procedure to find GCD of 738, 543, 74, 301 on our page.

3. How to find GCD of 738, 543, 74, 301 on a calculator?

You can find the GCD of 738, 543, 74, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.