GCD of 145, 335, 89, 508 Calculator

Given Input numbers are 145, 335, 89, 508

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 145, 335, 89, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 335, 89, 508 is 1.

Therefore, GCD of numbers 145, 335, 89, 508 is 1

Given Input Data is 145, 335, 89, 508

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 335 is 5 x 67

Prime Factorization of 89 is 89

Prime Factorization of 508 is 2 x 2 x 127

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(145, 335) = 9715

GCD(145, 335) = ( 145 x 335 ) / 9715

GCD(145, 335) = 48575 / 9715

GCD(145, 335) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 89

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

LCM(5, 89) = 445

GCD(5, 89) = ( 5 x 89 ) / 445

GCD(5, 89) = 445 / 445

GCD(5, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 145, 335, 89, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 537, 17, 457
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• GCD of 837, 236, 41, 547

1. What is the GCD of 145, 335, 89, 508?

GCD of 145, 335, 89, 508 is 1

2. Where do I get the detailed procedure to find GCD of 145, 335, 89, 508?

You can find a detailed procedure to find GCD of 145, 335, 89, 508 on our page.

3. How to find GCD of 145, 335, 89, 508 on a calculator?

You can find the GCD of 145, 335, 89, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.