GCD of 699, 362, 20, 899 Calculator

Given Input numbers are 699, 362, 20, 899

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

Divisors of 699

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

1, 3, 233, 699

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 699, 362, 20, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 362, 20, 899 is 1.

Therefore, GCD of numbers 699, 362, 20, 899 is 1

Given Input Data is 699, 362, 20, 899

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 362 is 2 x 181

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 899 is 29 x 31

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(699, 362) = 253038

GCD(699, 362) = ( 699 x 362 ) / 253038

GCD(699, 362) = 253038 / 253038

GCD(699, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

GCD of 699, 362, 20, 899 is 1

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1. What is the GCD of 699, 362, 20, 899?

GCD of 699, 362, 20, 899 is 1

2. Where do I get the detailed procedure to find GCD of 699, 362, 20, 899?

You can find a detailed procedure to find GCD of 699, 362, 20, 899 on our page.

3. How to find GCD of 699, 362, 20, 899 on a calculator?

You can find the GCD of 699, 362, 20, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.