GCD of 574, 141, 73, 814 Calculator

Given Input numbers are 574, 141, 73, 814

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 574, 141, 73, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 141, 73, 814 is 1.

Therefore, GCD of numbers 574, 141, 73, 814 is 1

Given Input Data is 574, 141, 73, 814

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 141 is 3 x 47

Prime Factorization of 73 is 73

Prime Factorization of 814 is 2 x 11 x 37

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(574, 141) = 80934

GCD(574, 141) = ( 574 x 141 ) / 80934

GCD(574, 141) = 80934 / 80934

GCD(574, 141) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 574, 141, 73, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 924, 43, 543
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• GCD of 619, 961, 85, 920
• GCD of 585, 193, 76, 724
• GCD of 235, 137, 58, 866

1. What is the GCD of 574, 141, 73, 814?

GCD of 574, 141, 73, 814 is 1

2. Where do I get the detailed procedure to find GCD of 574, 141, 73, 814?

You can find a detailed procedure to find GCD of 574, 141, 73, 814 on our page.

3. How to find GCD of 574, 141, 73, 814 on a calculator?

You can find the GCD of 574, 141, 73, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.