GCD of 840, 305, 11, 621 Calculator

Given Input numbers are 840, 305, 11, 621

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

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 621

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

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

Greatest Common Divisior

We found the divisors of 840, 305, 11, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 305, 11, 621 is 1.

Therefore, GCD of numbers 840, 305, 11, 621 is 1

Given Input Data is 840, 305, 11, 621

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

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 11 is 11

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

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(840, 305) = 51240

GCD(840, 305) = ( 840 x 305 ) / 51240

GCD(840, 305) = 256200 / 51240

GCD(840, 305) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 11

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

LCM(5, 11) = 55

GCD(5, 11) = ( 5 x 11 ) / 55

GCD(5, 11) = 55 / 55

GCD(5, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

GCD of 840, 305, 11, 621 is 1

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1. What is the GCD of 840, 305, 11, 621?

GCD of 840, 305, 11, 621 is 1

2. Where do I get the detailed procedure to find GCD of 840, 305, 11, 621?

You can find a detailed procedure to find GCD of 840, 305, 11, 621 on our page.

3. How to find GCD of 840, 305, 11, 621 on a calculator?

You can find the GCD of 840, 305, 11, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.