GCD of 170, 561, 760, 401 Calculator

Given Input numbers are 170, 561, 760, 401

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 170, 561, 760, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 561, 760, 401 is 1.

Therefore, GCD of numbers 170, 561, 760, 401 is 1

Given Input Data is 170, 561, 760, 401

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 561 is 3 x 11 x 17

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 401 is 401

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, 561) = 5610

GCD(170, 561) = ( 170 x 561 ) / 5610

GCD(170, 561) = 95370 / 5610

GCD(170, 561) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 760

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

LCM(17, 760) = 12920

GCD(17, 760) = ( 17 x 760 ) / 12920

GCD(17, 760) = 12920 / 12920

GCD(17, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 170, 561, 760, 401 is 1

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1. What is the GCD of 170, 561, 760, 401?

GCD of 170, 561, 760, 401 is 1

2. Where do I get the detailed procedure to find GCD of 170, 561, 760, 401?

You can find a detailed procedure to find GCD of 170, 561, 760, 401 on our page.

3. How to find GCD of 170, 561, 760, 401 on a calculator?

You can find the GCD of 170, 561, 760, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.