GCD of 549, 603, 567, 741 Calculator

Given Input numbers are 549, 603, 567, 741

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

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 549, 603, 567, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 603, 567, 741 is 3.

Therefore, GCD of numbers 549, 603, 567, 741 is 3

Given Input Data is 549, 603, 567, 741

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 741 is 3 x 13 x 19

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(549, 603) = 36783

GCD(549, 603) = ( 549 x 603 ) / 36783

GCD(549, 603) = 331047 / 36783

GCD(549, 603) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 567

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

LCM(9, 567) = 567

GCD(9, 567) = ( 9 x 567 ) / 567

GCD(9, 567) = 5103 / 567

GCD(9, 567) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 741

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

LCM(9, 741) = 2223

GCD(9, 741) = ( 9 x 741 ) / 2223

GCD(9, 741) = 6669 / 2223

GCD(9, 741) = 3

GCD of 549, 603, 567, 741 is 3

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1. What is the GCD of 549, 603, 567, 741?

GCD of 549, 603, 567, 741 is 3

2. Where do I get the detailed procedure to find GCD of 549, 603, 567, 741?

You can find a detailed procedure to find GCD of 549, 603, 567, 741 on our page.

3. How to find GCD of 549, 603, 567, 741 on a calculator?

You can find the GCD of 549, 603, 567, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.