GCD of 183, 144, 202, 507 Calculator

Given Input numbers are 183, 144, 202, 507

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 183, 144, 202, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 144, 202, 507 is 1.

Therefore, GCD of numbers 183, 144, 202, 507 is 1

Given Input Data is 183, 144, 202, 507

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 202 is 2 x 101

Prime Factorization of 507 is 3 x 13 x 13

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(183, 144) = 8784

GCD(183, 144) = ( 183 x 144 ) / 8784

GCD(183, 144) = 26352 / 8784

GCD(183, 144) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 202

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

LCM(3, 202) = 606

GCD(3, 202) = ( 3 x 202 ) / 606

GCD(3, 202) = 606 / 606

GCD(3, 202) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 183, 144, 202, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 773, 572, 399, 838
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• GCD of 888, 951, 497, 341
• GCD of 505, 867, 298, 147

1. What is the GCD of 183, 144, 202, 507?

GCD of 183, 144, 202, 507 is 1

2. Where do I get the detailed procedure to find GCD of 183, 144, 202, 507?

You can find a detailed procedure to find GCD of 183, 144, 202, 507 on our page.

3. How to find GCD of 183, 144, 202, 507 on a calculator?

You can find the GCD of 183, 144, 202, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.