GCD of 825, 844, 56, 145 Calculator

Given Input numbers are 825, 844, 56, 145

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 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 825, 844, 56, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 844, 56, 145 is 1.

Therefore, GCD of numbers 825, 844, 56, 145 is 1

Given Input Data is 825, 844, 56, 145

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 844 is 2 x 2 x 211

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 145 is 5 x 29

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, 844) = 696300

GCD(825, 844) = ( 825 x 844 ) / 696300

GCD(825, 844) = 696300 / 696300

GCD(825, 844) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

GCD of 825, 844, 56, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 739, 52, 150
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• GCD of 264, 599, 36, 631
• GCD of 281, 410, 98, 435
• GCD of 585, 501, 57, 799

1. What is the GCD of 825, 844, 56, 145?

GCD of 825, 844, 56, 145 is 1

2. Where do I get the detailed procedure to find GCD of 825, 844, 56, 145?

You can find a detailed procedure to find GCD of 825, 844, 56, 145 on our page.

3. How to find GCD of 825, 844, 56, 145 on a calculator?

You can find the GCD of 825, 844, 56, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.