GCD of 814, 840, 589, 541 Calculator

Given Input numbers are 814, 840, 589, 541

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

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 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 814, 840, 589, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 840, 589, 541 is 1.

Therefore, GCD of numbers 814, 840, 589, 541 is 1

Given Input Data is 814, 840, 589, 541

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

Prime Factorization of 814 is 2 x 11 x 37

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 541 is 541

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(814, 840) = 341880

GCD(814, 840) = ( 814 x 840 ) / 341880

GCD(814, 840) = 683760 / 341880

GCD(814, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 814, 840, 589, 541 is 1

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1. What is the GCD of 814, 840, 589, 541?

GCD of 814, 840, 589, 541 is 1

2. Where do I get the detailed procedure to find GCD of 814, 840, 589, 541?

You can find a detailed procedure to find GCD of 814, 840, 589, 541 on our page.

3. How to find GCD of 814, 840, 589, 541 on a calculator?

You can find the GCD of 814, 840, 589, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.