GCD of 189, 698, 742, 211 Calculator

Given Input numbers are 189, 698, 742, 211

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 189, 698, 742, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 698, 742, 211 is 1.

Therefore, GCD of numbers 189, 698, 742, 211 is 1

Given Input Data is 189, 698, 742, 211

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 698 is 2 x 349

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 211 is 211

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(189, 698) = 131922

GCD(189, 698) = ( 189 x 698 ) / 131922

GCD(189, 698) = 131922 / 131922

GCD(189, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 189, 698, 742, 211 is 1

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• GCD of 327, 588, 415, 530
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1. What is the GCD of 189, 698, 742, 211?

GCD of 189, 698, 742, 211 is 1

2. Where do I get the detailed procedure to find GCD of 189, 698, 742, 211?

You can find a detailed procedure to find GCD of 189, 698, 742, 211 on our page.

3. How to find GCD of 189, 698, 742, 211 on a calculator?

You can find the GCD of 189, 698, 742, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.