GCD of 545, 180, 28, 958 Calculator

Given Input numbers are 545, 180, 28, 958

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 545, 180, 28, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 180, 28, 958 is 1.

Therefore, GCD of numbers 545, 180, 28, 958 is 1

Given Input Data is 545, 180, 28, 958

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 958 is 2 x 479

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(545, 180) = 19620

GCD(545, 180) = ( 545 x 180 ) / 19620

GCD(545, 180) = 98100 / 19620

GCD(545, 180) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 28

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

LCM(5, 28) = 140

GCD(5, 28) = ( 5 x 28 ) / 140

GCD(5, 28) = 140 / 140

GCD(5, 28) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 545, 180, 28, 958 is 1

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1. What is the GCD of 545, 180, 28, 958?

GCD of 545, 180, 28, 958 is 1

2. Where do I get the detailed procedure to find GCD of 545, 180, 28, 958?

You can find a detailed procedure to find GCD of 545, 180, 28, 958 on our page.

3. How to find GCD of 545, 180, 28, 958 on a calculator?

You can find the GCD of 545, 180, 28, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.