GCD of 825, 950, 42, 774 Calculator

Given Input numbers are 825, 950, 42, 774

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 825, 950, 42, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 950, 42, 774 is 1.

Therefore, GCD of numbers 825, 950, 42, 774 is 1

Given Input Data is 825, 950, 42, 774

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 950) = 31350

GCD(825, 950) = ( 825 x 950 ) / 31350

GCD(825, 950) = 783750 / 31350

GCD(825, 950) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 42

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

LCM(25, 42) = 1050

GCD(25, 42) = ( 25 x 42 ) / 1050

GCD(25, 42) = 1050 / 1050

GCD(25, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 825, 950, 42, 774 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 944, 41, 916
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• GCD of 510, 765, 60, 258

1. What is the GCD of 825, 950, 42, 774?

GCD of 825, 950, 42, 774 is 1

2. Where do I get the detailed procedure to find GCD of 825, 950, 42, 774?

You can find a detailed procedure to find GCD of 825, 950, 42, 774 on our page.

3. How to find GCD of 825, 950, 42, 774 on a calculator?

You can find the GCD of 825, 950, 42, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.