GCD of 745, 185, 389, 543 Calculator

Given Input numbers are 745, 185, 389, 543

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 543

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

1, 3, 181, 543

Greatest Common Divisior

We found the divisors of 745, 185, 389, 543 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 185, 389, 543 is 1.

Therefore, GCD of numbers 745, 185, 389, 543 is 1

Given Input Data is 745, 185, 389, 543

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 185 is 5 x 37

Prime Factorization of 389 is 389

Prime Factorization of 543 is 3 x 181

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(745, 185) = 27565

GCD(745, 185) = ( 745 x 185 ) / 27565

GCD(745, 185) = 137825 / 27565

GCD(745, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 389

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

LCM(5, 389) = 1945

GCD(5, 389) = ( 5 x 389 ) / 1945

GCD(5, 389) = 1945 / 1945

GCD(5, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 543

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

LCM(1, 543) = 543

GCD(1, 543) = ( 1 x 543 ) / 543

GCD(1, 543) = 543 / 543

GCD(1, 543) = 1

GCD of 745, 185, 389, 543 is 1

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1. What is the GCD of 745, 185, 389, 543?

GCD of 745, 185, 389, 543 is 1

2. Where do I get the detailed procedure to find GCD of 745, 185, 389, 543?

You can find a detailed procedure to find GCD of 745, 185, 389, 543 on our page.

3. How to find GCD of 745, 185, 389, 543 on a calculator?

You can find the GCD of 745, 185, 389, 543 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.