GCD of 723, 879, 940, 879 Calculator

Given Input numbers are 723, 879, 940, 879

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 723, 879, 940, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 879, 940, 879 is 1.

Therefore, GCD of numbers 723, 879, 940, 879 is 1

Given Input Data is 723, 879, 940, 879

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 879 is 3 x 293

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 879 is 3 x 293

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(723, 879) = 211839

GCD(723, 879) = ( 723 x 879 ) / 211839

GCD(723, 879) = 635517 / 211839

GCD(723, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 940

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

LCM(3, 940) = 2820

GCD(3, 940) = ( 3 x 940 ) / 2820

GCD(3, 940) = 2820 / 2820

GCD(3, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 723, 879, 940, 879 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 893, 890, 177
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• GCD of 867, 146, 994, 207
• GCD of 292, 713, 605, 962
• GCD of 151, 489, 147, 874

1. What is the GCD of 723, 879, 940, 879?

GCD of 723, 879, 940, 879 is 1

2. Where do I get the detailed procedure to find GCD of 723, 879, 940, 879?

You can find a detailed procedure to find GCD of 723, 879, 940, 879 on our page.

3. How to find GCD of 723, 879, 940, 879 on a calculator?

You can find the GCD of 723, 879, 940, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.