GCD of 146, 328, 539, 900 Calculator

Given Input numbers are 146, 328, 539, 900

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 146, 328, 539, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 328, 539, 900 is 1.

Therefore, GCD of numbers 146, 328, 539, 900 is 1

Given Input Data is 146, 328, 539, 900

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(146, 328) = 23944

GCD(146, 328) = ( 146 x 328 ) / 23944

GCD(146, 328) = 47888 / 23944

GCD(146, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 539

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

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

GCD(2, 539) = 1078 / 1078

GCD(2, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 146, 328, 539, 900 is 1

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• GCD of 257, 759, 785, 881
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• GCD of 854, 385, 951, 655

1. What is the GCD of 146, 328, 539, 900?

GCD of 146, 328, 539, 900 is 1

2. Where do I get the detailed procedure to find GCD of 146, 328, 539, 900?

You can find a detailed procedure to find GCD of 146, 328, 539, 900 on our page.

3. How to find GCD of 146, 328, 539, 900 on a calculator?

You can find the GCD of 146, 328, 539, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.