GCD of 882, 696, 75, 827 Calculator

Given Input numbers are 882, 696, 75, 827

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 882, 696, 75, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 696, 75, 827 is 1.

Therefore, GCD of numbers 882, 696, 75, 827 is 1

Given Input Data is 882, 696, 75, 827

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 827 is 827

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(882, 696) = 102312

GCD(882, 696) = ( 882 x 696 ) / 102312

GCD(882, 696) = 613872 / 102312

GCD(882, 696) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 75

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

LCM(6, 75) = 150

GCD(6, 75) = ( 6 x 75 ) / 150

GCD(6, 75) = 450 / 150

GCD(6, 75) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 827

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

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

GCD(3, 827) = 2481 / 2481

GCD(3, 827) = 1

GCD of 882, 696, 75, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 908, 10, 222
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• GCD of 299, 292, 76, 954
• GCD of 241, 122, 20, 769
• GCD of 930, 946, 38, 654

1. What is the GCD of 882, 696, 75, 827?

GCD of 882, 696, 75, 827 is 1

2. Where do I get the detailed procedure to find GCD of 882, 696, 75, 827?

You can find a detailed procedure to find GCD of 882, 696, 75, 827 on our page.

3. How to find GCD of 882, 696, 75, 827 on a calculator?

You can find the GCD of 882, 696, 75, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.