GCD of 180, 536, 511, 148 Calculator

Given Input numbers are 180, 536, 511, 148

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

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 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 180, 536, 511, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 536, 511, 148 is 1.

Therefore, GCD of numbers 180, 536, 511, 148 is 1

Given Input Data is 180, 536, 511, 148

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

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 511 is 7 x 73

Prime Factorization of 148 is 2 x 2 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(180, 536) = 24120

GCD(180, 536) = ( 180 x 536 ) / 24120

GCD(180, 536) = 96480 / 24120

GCD(180, 536) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 511

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

LCM(4, 511) = 2044

GCD(4, 511) = ( 4 x 511 ) / 2044

GCD(4, 511) = 2044 / 2044

GCD(4, 511) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 180, 536, 511, 148 is 1

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1. What is the GCD of 180, 536, 511, 148?

GCD of 180, 536, 511, 148 is 1

2. Where do I get the detailed procedure to find GCD of 180, 536, 511, 148?

You can find a detailed procedure to find GCD of 180, 536, 511, 148 on our page.

3. How to find GCD of 180, 536, 511, 148 on a calculator?

You can find the GCD of 180, 536, 511, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.