GCD of 750, 945, 823, 944 Calculator

Given Input numbers are 750, 945, 823, 944

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 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 750, 945, 823, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 945, 823, 944 is 1.

Therefore, GCD of numbers 750, 945, 823, 944 is 1

Given Input Data is 750, 945, 823, 944

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 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 823 is 823

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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, 945) = 47250

GCD(750, 945) = ( 750 x 945 ) / 47250

GCD(750, 945) = 708750 / 47250

GCD(750, 945) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 823

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

LCM(15, 823) = 12345

GCD(15, 823) = ( 15 x 823 ) / 12345

GCD(15, 823) = 12345 / 12345

GCD(15, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 750, 945, 823, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 567, 358, 583
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• GCD of 349, 564, 411, 268

1. What is the GCD of 750, 945, 823, 944?

GCD of 750, 945, 823, 944 is 1

2. Where do I get the detailed procedure to find GCD of 750, 945, 823, 944?

You can find a detailed procedure to find GCD of 750, 945, 823, 944 on our page.

3. How to find GCD of 750, 945, 823, 944 on a calculator?

You can find the GCD of 750, 945, 823, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.