GCD of 852, 699, 59, 508 Calculator

Given Input numbers are 852, 699, 59, 508

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

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 852, 699, 59, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 699, 59, 508 is 1.

Therefore, GCD of numbers 852, 699, 59, 508 is 1

Given Input Data is 852, 699, 59, 508

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 699 is 3 x 233

Prime Factorization of 59 is 59

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(852, 699) = 198516

GCD(852, 699) = ( 852 x 699 ) / 198516

GCD(852, 699) = 595548 / 198516

GCD(852, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 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 852, 699, 59, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 349, 70, 940
• GCD of 539, 145, 48, 785
• GCD of 902, 283, 60, 665
• GCD of 505, 129, 38, 786
• GCD of 130, 899, 44, 893

1. What is the GCD of 852, 699, 59, 508?

GCD of 852, 699, 59, 508 is 1

2. Where do I get the detailed procedure to find GCD of 852, 699, 59, 508?

You can find a detailed procedure to find GCD of 852, 699, 59, 508 on our page.

3. How to find GCD of 852, 699, 59, 508 on a calculator?

You can find the GCD of 852, 699, 59, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.