GCD of 396, 699, 840, 940 Calculator

Given Input numbers are 396, 699, 840, 940

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

Greatest Common Divisior

We found the divisors of 396, 699, 840, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 699, 840, 940 is 1.

Therefore, GCD of numbers 396, 699, 840, 940 is 1

Given Input Data is 396, 699, 840, 940

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 699 is 3 x 233

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 940 is 2 x 2 x 5 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(396, 699) = 92268

GCD(396, 699) = ( 396 x 699 ) / 92268

GCD(396, 699) = 276804 / 92268

GCD(396, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 840

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

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

GCD(3, 840) = 2520 / 840

GCD(3, 840) = 3

Step3:

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

GCD of 396, 699, 840, 940 is 1

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1. What is the GCD of 396, 699, 840, 940?

GCD of 396, 699, 840, 940 is 1

2. Where do I get the detailed procedure to find GCD of 396, 699, 840, 940?

You can find a detailed procedure to find GCD of 396, 699, 840, 940 on our page.

3. How to find GCD of 396, 699, 840, 940 on a calculator?

You can find the GCD of 396, 699, 840, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.