GCD of 825, 716, 811, 114 Calculator

Given Input numbers are 825, 716, 811, 114

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

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 716

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

1, 2, 4, 179, 358, 716

Divisors of 811

List of positive integer divisors of 811 that divides 811 without a remainder.

1, 811

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 825, 716, 811, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 716, 811, 114 is 1.

Therefore, GCD of numbers 825, 716, 811, 114 is 1

Given Input Data is 825, 716, 811, 114

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

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 811 is 811

Prime Factorization of 114 is 2 x 3 x 19

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(825, 716) = 590700

GCD(825, 716) = ( 825 x 716 ) / 590700

GCD(825, 716) = 590700 / 590700

GCD(825, 716) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 811

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

LCM(1, 811) = 811

GCD(1, 811) = ( 1 x 811 ) / 811

GCD(1, 811) = 811 / 811

GCD(1, 811) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 825, 716, 811, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 125, 321, 910
• GCD of 311, 106, 252, 648
• GCD of 190, 601, 684, 779
• GCD of 301, 896, 227, 725
• GCD of 478, 865, 433, 935

1. What is the GCD of 825, 716, 811, 114?

GCD of 825, 716, 811, 114 is 1

2. Where do I get the detailed procedure to find GCD of 825, 716, 811, 114?

You can find a detailed procedure to find GCD of 825, 716, 811, 114 on our page.

3. How to find GCD of 825, 716, 811, 114 on a calculator?

You can find the GCD of 825, 716, 811, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.