GCD of 684, 629, 40, 943 Calculator

Given Input numbers are 684, 629, 40, 943

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 684, 629, 40, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 629, 40, 943 is 1.

Therefore, GCD of numbers 684, 629, 40, 943 is 1

Given Input Data is 684, 629, 40, 943

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 629 is 17 x 37

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 943 is 23 x 41

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(684, 629) = 430236

GCD(684, 629) = ( 684 x 629 ) / 430236

GCD(684, 629) = 430236 / 430236

GCD(684, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

GCD of 684, 629, 40, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 181, 99, 474
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• GCD of 209, 329, 31, 284
• GCD of 554, 534, 14, 217

1. What is the GCD of 684, 629, 40, 943?

GCD of 684, 629, 40, 943 is 1

2. Where do I get the detailed procedure to find GCD of 684, 629, 40, 943?

You can find a detailed procedure to find GCD of 684, 629, 40, 943 on our page.

3. How to find GCD of 684, 629, 40, 943 on a calculator?

You can find the GCD of 684, 629, 40, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.