GCD of 160, 788, 255, 507 Calculator

Given Input numbers are 160, 788, 255, 507

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

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 160, 788, 255, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 788, 255, 507 is 1.

Therefore, GCD of numbers 160, 788, 255, 507 is 1

Given Input Data is 160, 788, 255, 507

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 255 is 3 x 5 x 17

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(160, 788) = 31520

GCD(160, 788) = ( 160 x 788 ) / 31520

GCD(160, 788) = 126080 / 31520

GCD(160, 788) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 255

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

LCM(4, 255) = 1020

GCD(4, 255) = ( 4 x 255 ) / 1020

GCD(4, 255) = 1020 / 1020

GCD(4, 255) = 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 160, 788, 255, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 724, 892, 892
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• GCD of 540, 588, 625, 715

1. What is the GCD of 160, 788, 255, 507?

GCD of 160, 788, 255, 507 is 1

2. Where do I get the detailed procedure to find GCD of 160, 788, 255, 507?

You can find a detailed procedure to find GCD of 160, 788, 255, 507 on our page.

3. How to find GCD of 160, 788, 255, 507 on a calculator?

You can find the GCD of 160, 788, 255, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.