GCD of 831, 894, 72, 759 Calculator

Given Input numbers are 831, 894, 72, 759

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 831, 894, 72, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 894, 72, 759 is 3.

Therefore, GCD of numbers 831, 894, 72, 759 is 3

Given Input Data is 831, 894, 72, 759

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 759 is 3 x 11 x 23

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(831, 894) = 247638

GCD(831, 894) = ( 831 x 894 ) / 247638

GCD(831, 894) = 742914 / 247638

GCD(831, 894) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 759

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

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

GCD(3, 759) = 2277 / 759

GCD(3, 759) = 3

GCD of 831, 894, 72, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 147, 403, 24, 382
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• GCD of 816, 190, 24, 618
• GCD of 731, 487, 44, 903
• GCD of 647, 373, 68, 447

1. What is the GCD of 831, 894, 72, 759?

GCD of 831, 894, 72, 759 is 3

2. Where do I get the detailed procedure to find GCD of 831, 894, 72, 759?

You can find a detailed procedure to find GCD of 831, 894, 72, 759 on our page.

3. How to find GCD of 831, 894, 72, 759 on a calculator?

You can find the GCD of 831, 894, 72, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.