GCD of 545, 665, 42, 814 Calculator

Given Input numbers are 545, 665, 42, 814

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 545, 665, 42, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 665, 42, 814 is 1.

Therefore, GCD of numbers 545, 665, 42, 814 is 1

Given Input Data is 545, 665, 42, 814

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 42 is 2 x 3 x 7

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(545, 665) = 72485

GCD(545, 665) = ( 545 x 665 ) / 72485

GCD(545, 665) = 362425 / 72485

GCD(545, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 42

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

LCM(5, 42) = 210

GCD(5, 42) = ( 5 x 42 ) / 210

GCD(5, 42) = 210 / 210

GCD(5, 42) = 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 545, 665, 42, 814 is 1

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1. What is the GCD of 545, 665, 42, 814?

GCD of 545, 665, 42, 814 is 1

2. Where do I get the detailed procedure to find GCD of 545, 665, 42, 814?

You can find a detailed procedure to find GCD of 545, 665, 42, 814 on our page.

3. How to find GCD of 545, 665, 42, 814 on a calculator?

You can find the GCD of 545, 665, 42, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.