GCD of 750, 415, 949, 423 Calculator

Given Input numbers are 750, 415, 949, 423

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 750, 415, 949, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 415, 949, 423 is 1.

Therefore, GCD of numbers 750, 415, 949, 423 is 1

Given Input Data is 750, 415, 949, 423

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 415 is 5 x 83

Prime Factorization of 949 is 13 x 73

Prime Factorization of 423 is 3 x 3 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(750, 415) = 62250

GCD(750, 415) = ( 750 x 415 ) / 62250

GCD(750, 415) = 311250 / 62250

GCD(750, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 949

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

LCM(5, 949) = 4745

GCD(5, 949) = ( 5 x 949 ) / 4745

GCD(5, 949) = 4745 / 4745

GCD(5, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 750, 415, 949, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 918, 807, 967
• GCD of 429, 421, 910, 892
• GCD of 742, 596, 519, 886
• GCD of 186, 400, 445, 589
• GCD of 339, 551, 445, 133

1. What is the GCD of 750, 415, 949, 423?

GCD of 750, 415, 949, 423 is 1

2. Where do I get the detailed procedure to find GCD of 750, 415, 949, 423?

You can find a detailed procedure to find GCD of 750, 415, 949, 423 on our page.

3. How to find GCD of 750, 415, 949, 423 on a calculator?

You can find the GCD of 750, 415, 949, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.