GCD of 621, 314, 43, 784 Calculator

Given Input numbers are 621, 314, 43, 784

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

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 621, 314, 43, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 314, 43, 784 is 1.

Therefore, GCD of numbers 621, 314, 43, 784 is 1

Given Input Data is 621, 314, 43, 784

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

Prime Factorization of 621 is 3 x 3 x 3 x 23

Prime Factorization of 314 is 2 x 157

Prime Factorization of 43 is 43

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

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(621, 314) = 194994

GCD(621, 314) = ( 621 x 314 ) / 194994

GCD(621, 314) = 194994 / 194994

GCD(621, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 43

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

LCM(1, 43) = 43

GCD(1, 43) = ( 1 x 43 ) / 43

GCD(1, 43) = 43 / 43

GCD(1, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

GCD of 621, 314, 43, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 452, 62, 295
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• GCD of 799, 289, 51, 313

1. What is the GCD of 621, 314, 43, 784?

GCD of 621, 314, 43, 784 is 1

2. Where do I get the detailed procedure to find GCD of 621, 314, 43, 784?

You can find a detailed procedure to find GCD of 621, 314, 43, 784 on our page.

3. How to find GCD of 621, 314, 43, 784 on a calculator?

You can find the GCD of 621, 314, 43, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.