GCD of 152, 284, 497, 452 Calculator

Given Input numbers are 152, 284, 497, 452

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 152, 284, 497, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 284, 497, 452 is 1.

Therefore, GCD of numbers 152, 284, 497, 452 is 1

Given Input Data is 152, 284, 497, 452

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 497 is 7 x 71

Prime Factorization of 452 is 2 x 2 x 113

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(152, 284) = 10792

GCD(152, 284) = ( 152 x 284 ) / 10792

GCD(152, 284) = 43168 / 10792

GCD(152, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 497

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

LCM(4, 497) = 1988

GCD(4, 497) = ( 4 x 497 ) / 1988

GCD(4, 497) = 1988 / 1988

GCD(4, 497) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

GCD of 152, 284, 497, 452 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 782, 699, 593
• GCD of 454, 891, 829, 191
• GCD of 768, 986, 609, 815
• GCD of 183, 714, 358, 237
• GCD of 144, 923, 668, 636

1. What is the GCD of 152, 284, 497, 452?

GCD of 152, 284, 497, 452 is 1

2. Where do I get the detailed procedure to find GCD of 152, 284, 497, 452?

You can find a detailed procedure to find GCD of 152, 284, 497, 452 on our page.

3. How to find GCD of 152, 284, 497, 452 on a calculator?

You can find the GCD of 152, 284, 497, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.