GCD of 40, 152, 363, 507 Calculator

Given Input numbers are 40, 152, 363, 507

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 40, 152, 363, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 152, 363, 507 is 1.

Therefore, GCD of numbers 40, 152, 363, 507 is 1

Given Input Data is 40, 152, 363, 507

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

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

Prime Factorization of 363 is 3 x 11 x 11

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(40, 152) = 760

GCD(40, 152) = ( 40 x 152 ) / 760

GCD(40, 152) = 6080 / 760

GCD(40, 152) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 363

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

LCM(8, 363) = 2904

GCD(8, 363) = ( 8 x 363 ) / 2904

GCD(8, 363) = 2904 / 2904

GCD(8, 363) = 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 40, 152, 363, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 262, 624, 828
• GCD of 33, 199, 409, 987
• GCD of 29, 563, 639, 558
• GCD of 50, 908, 344, 646
• GCD of 42, 329, 799, 113

1. What is the GCD of 40, 152, 363, 507?

GCD of 40, 152, 363, 507 is 1

2. Where do I get the detailed procedure to find GCD of 40, 152, 363, 507?

You can find a detailed procedure to find GCD of 40, 152, 363, 507 on our page.

3. How to find GCD of 40, 152, 363, 507 on a calculator?

You can find the GCD of 40, 152, 363, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.