GCD of 20, 759, 253, 699 Calculator

Given Input numbers are 20, 759, 253, 699

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 20, 759, 253, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 759, 253, 699 is 1.

Therefore, GCD of numbers 20, 759, 253, 699 is 1

Given Input Data is 20, 759, 253, 699

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 253 is 11 x 23

Prime Factorization of 699 is 3 x 233

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(20, 759) = 15180

GCD(20, 759) = ( 20 x 759 ) / 15180

GCD(20, 759) = 15180 / 15180

GCD(20, 759) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 20, 759, 253, 699 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 113, 895, 565
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• GCD of 13, 187, 530, 893

1. What is the GCD of 20, 759, 253, 699?

GCD of 20, 759, 253, 699 is 1

2. Where do I get the detailed procedure to find GCD of 20, 759, 253, 699?

You can find a detailed procedure to find GCD of 20, 759, 253, 699 on our page.

3. How to find GCD of 20, 759, 253, 699 on a calculator?

You can find the GCD of 20, 759, 253, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.