GCD of 213, 154, 71, 445 Calculator

Given Input numbers are 213, 154, 71, 445

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 213, 154, 71, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 154, 71, 445 is 1.

Therefore, GCD of numbers 213, 154, 71, 445 is 1

Given Input Data is 213, 154, 71, 445

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 71 is 71

Prime Factorization of 445 is 5 x 89

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(213, 154) = 32802

GCD(213, 154) = ( 213 x 154 ) / 32802

GCD(213, 154) = 32802 / 32802

GCD(213, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

GCD of 213, 154, 71, 445 is 1

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• GCD of 119, 433, 10, 601
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• GCD of 635, 407, 26, 339

1. What is the GCD of 213, 154, 71, 445?

GCD of 213, 154, 71, 445 is 1

2. Where do I get the detailed procedure to find GCD of 213, 154, 71, 445?

You can find a detailed procedure to find GCD of 213, 154, 71, 445 on our page.

3. How to find GCD of 213, 154, 71, 445 on a calculator?

You can find the GCD of 213, 154, 71, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.