GCD of 20, 695, 832, 716 Calculator

Given Input numbers are 20, 695, 832, 716

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 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 20, 695, 832, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 695, 832, 716 is 1.

Therefore, GCD of numbers 20, 695, 832, 716 is 1

Given Input Data is 20, 695, 832, 716

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 695 is 5 x 139

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 716 is 2 x 2 x 179

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, 695) = 2780

GCD(20, 695) = ( 20 x 695 ) / 2780

GCD(20, 695) = 13900 / 2780

GCD(20, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 832

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

LCM(5, 832) = 4160

GCD(5, 832) = ( 5 x 832 ) / 4160

GCD(5, 832) = 4160 / 4160

GCD(5, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 20, 695, 832, 716 is 1

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1. What is the GCD of 20, 695, 832, 716?

GCD of 20, 695, 832, 716 is 1

2. Where do I get the detailed procedure to find GCD of 20, 695, 832, 716?

You can find a detailed procedure to find GCD of 20, 695, 832, 716 on our page.

3. How to find GCD of 20, 695, 832, 716 on a calculator?

You can find the GCD of 20, 695, 832, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.