GCD of 54, 789, 549, 925 Calculator

Given Input numbers are 54, 789, 549, 925

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 54, 789, 549, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 789, 549, 925 is 1.

Therefore, GCD of numbers 54, 789, 549, 925 is 1

Given Input Data is 54, 789, 549, 925

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 789 is 3 x 263

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 925 is 5 x 5 x 37

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(54, 789) = 14202

GCD(54, 789) = ( 54 x 789 ) / 14202

GCD(54, 789) = 42606 / 14202

GCD(54, 789) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 549

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

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

GCD(3, 549) = 1647 / 549

GCD(3, 549) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 925

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

LCM(3, 925) = 2775

GCD(3, 925) = ( 3 x 925 ) / 2775

GCD(3, 925) = 2775 / 2775

GCD(3, 925) = 1

GCD of 54, 789, 549, 925 is 1

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1. What is the GCD of 54, 789, 549, 925?

GCD of 54, 789, 549, 925 is 1

2. Where do I get the detailed procedure to find GCD of 54, 789, 549, 925?

You can find a detailed procedure to find GCD of 54, 789, 549, 925 on our page.

3. How to find GCD of 54, 789, 549, 925 on a calculator?

You can find the GCD of 54, 789, 549, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.