GCD of 170, 211, 776, 189 Calculator

Given Input numbers are 170, 211, 776, 189

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 211

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

1, 211

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 189

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

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

Greatest Common Divisior

We found the divisors of 170, 211, 776, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 211, 776, 189 is 1.

Therefore, GCD of numbers 170, 211, 776, 189 is 1

Given Input Data is 170, 211, 776, 189

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 211 is 211

Prime Factorization of 776 is 2 x 2 x 2 x 97

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

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(170, 211) = 35870

GCD(170, 211) = ( 170 x 211 ) / 35870

GCD(170, 211) = 35870 / 35870

GCD(170, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 170, 211, 776, 189 is 1

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1. What is the GCD of 170, 211, 776, 189?

GCD of 170, 211, 776, 189 is 1

2. Where do I get the detailed procedure to find GCD of 170, 211, 776, 189?

You can find a detailed procedure to find GCD of 170, 211, 776, 189 on our page.

3. How to find GCD of 170, 211, 776, 189 on a calculator?

You can find the GCD of 170, 211, 776, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.