GCD of 605, 892, 820, 214 Calculator

Given Input numbers are 605, 892, 820, 214

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

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 605, 892, 820, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 605, 892, 820, 214 is 1.

Therefore, GCD of numbers 605, 892, 820, 214 is 1

Given Input Data is 605, 892, 820, 214

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

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 214 is 2 x 107

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(605, 892) = 539660

GCD(605, 892) = ( 605 x 892 ) / 539660

GCD(605, 892) = 539660 / 539660

GCD(605, 892) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 605, 892, 820, 214 is 1

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1. What is the GCD of 605, 892, 820, 214?

GCD of 605, 892, 820, 214 is 1

2. Where do I get the detailed procedure to find GCD of 605, 892, 820, 214?

You can find a detailed procedure to find GCD of 605, 892, 820, 214 on our page.

3. How to find GCD of 605, 892, 820, 214 on a calculator?

You can find the GCD of 605, 892, 820, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.