GCD of 452, 431, 465, 507 Calculator

Given Input numbers are 452, 431, 465, 507

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

Divisors of 452

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

1, 2, 4, 113, 226, 452

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 452, 431, 465, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 431, 465, 507 is 1.

Therefore, GCD of numbers 452, 431, 465, 507 is 1

Given Input Data is 452, 431, 465, 507

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 431 is 431

Prime Factorization of 465 is 3 x 5 x 31

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(452, 431) = 194812

GCD(452, 431) = ( 452 x 431 ) / 194812

GCD(452, 431) = 194812 / 194812

GCD(452, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 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 452, 431, 465, 507 is 1

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1. What is the GCD of 452, 431, 465, 507?

GCD of 452, 431, 465, 507 is 1

2. Where do I get the detailed procedure to find GCD of 452, 431, 465, 507?

You can find a detailed procedure to find GCD of 452, 431, 465, 507 on our page.

3. How to find GCD of 452, 431, 465, 507 on a calculator?

You can find the GCD of 452, 431, 465, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.