GCD of 75, 549, 795, 534 Calculator

Given Input numbers are 75, 549, 795, 534

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 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Greatest Common Divisior

We found the divisors of 75, 549, 795, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 549, 795, 534 is 3.

Therefore, GCD of numbers 75, 549, 795, 534 is 3

Given Input Data is 75, 549, 795, 534

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 549 is 3 x 3 x 61

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 534 is 2 x 3 x 89

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 549) = 13725

GCD(75, 549) = ( 75 x 549 ) / 13725

GCD(75, 549) = 41175 / 13725

GCD(75, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 795

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

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

GCD(3, 795) = 2385 / 795

GCD(3, 795) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 534

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

LCM(3, 534) = 534

GCD(3, 534) = ( 3 x 534 ) / 534

GCD(3, 534) = 1602 / 534

GCD(3, 534) = 3

GCD of 75, 549, 795, 534 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 675, 786, 939
• GCD of 13, 236, 309, 533
• GCD of 42, 335, 354, 396
• GCD of 13, 739, 229, 276
• GCD of 61, 140, 751, 109

1. What is the GCD of 75, 549, 795, 534?

GCD of 75, 549, 795, 534 is 3

2. Where do I get the detailed procedure to find GCD of 75, 549, 795, 534?

You can find a detailed procedure to find GCD of 75, 549, 795, 534 on our page.

3. How to find GCD of 75, 549, 795, 534 on a calculator?

You can find the GCD of 75, 549, 795, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.