GCD of 75, 774, 993, 542 Calculator

Given Input numbers are 75, 774, 993, 542

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 75, 774, 993, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 774, 993, 542 is 1.

Therefore, GCD of numbers 75, 774, 993, 542 is 1

Given Input Data is 75, 774, 993, 542

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 993 is 3 x 331

Prime Factorization of 542 is 2 x 271

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(75, 774) = 19350

GCD(75, 774) = ( 75 x 774 ) / 19350

GCD(75, 774) = 58050 / 19350

GCD(75, 774) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 542

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

LCM(3, 542) = 1626

GCD(3, 542) = ( 3 x 542 ) / 1626

GCD(3, 542) = 1626 / 1626

GCD(3, 542) = 1

GCD of 75, 774, 993, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 620, 111, 107
• GCD of 68, 876, 648, 255
• GCD of 26, 687, 518, 712
• GCD of 55, 486, 174, 467
• GCD of 80, 598, 514, 507

1. What is the GCD of 75, 774, 993, 542?

GCD of 75, 774, 993, 542 is 1

2. Where do I get the detailed procedure to find GCD of 75, 774, 993, 542?

You can find a detailed procedure to find GCD of 75, 774, 993, 542 on our page.

3. How to find GCD of 75, 774, 993, 542 on a calculator?

You can find the GCD of 75, 774, 993, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.