GCD of 71, 825, 790, 188 Calculator

Given Input numbers are 71, 825, 790, 188

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 71, 825, 790, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 825, 790, 188 is 1.

Therefore, GCD of numbers 71, 825, 790, 188 is 1

Given Input Data is 71, 825, 790, 188

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

Prime Factorization of 71 is 71

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 188 is 2 x 2 x 47

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(71, 825) = 58575

GCD(71, 825) = ( 71 x 825 ) / 58575

GCD(71, 825) = 58575 / 58575

GCD(71, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 71, 825, 790, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 757, 744, 672
• GCD of 18, 136, 375, 379
• GCD of 15, 842, 642, 954
• GCD of 43, 998, 431, 701
• GCD of 20, 350, 711, 639

1. What is the GCD of 71, 825, 790, 188?

GCD of 71, 825, 790, 188 is 1

2. Where do I get the detailed procedure to find GCD of 71, 825, 790, 188?

You can find a detailed procedure to find GCD of 71, 825, 790, 188 on our page.

3. How to find GCD of 71, 825, 790, 188 on a calculator?

You can find the GCD of 71, 825, 790, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.