GCD of 201, 492, 548, 511 Calculator

Given Input numbers are 201, 492, 548, 511

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 511

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

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 201, 492, 548, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 492, 548, 511 is 1.

Therefore, GCD of numbers 201, 492, 548, 511 is 1

Given Input Data is 201, 492, 548, 511

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 511 is 7 x 73

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(201, 492) = 32964

GCD(201, 492) = ( 201 x 492 ) / 32964

GCD(201, 492) = 98892 / 32964

GCD(201, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 548

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

LCM(3, 548) = 1644

GCD(3, 548) = ( 3 x 548 ) / 1644

GCD(3, 548) = 1644 / 1644

GCD(3, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 201, 492, 548, 511 is 1

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1. What is the GCD of 201, 492, 548, 511?

GCD of 201, 492, 548, 511 is 1

2. Where do I get the detailed procedure to find GCD of 201, 492, 548, 511?

You can find a detailed procedure to find GCD of 201, 492, 548, 511 on our page.

3. How to find GCD of 201, 492, 548, 511 on a calculator?

You can find the GCD of 201, 492, 548, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.