GCD of 179, 871, 698, 666 Calculator

Given Input numbers are 179, 871, 698, 666

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 698

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

1, 2, 349, 698

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 179, 871, 698, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 871, 698, 666 is 1.

Therefore, GCD of numbers 179, 871, 698, 666 is 1

Given Input Data is 179, 871, 698, 666

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

Prime Factorization of 179 is 179

Prime Factorization of 871 is 13 x 67

Prime Factorization of 698 is 2 x 349

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(179, 871) = 155909

GCD(179, 871) = ( 179 x 871 ) / 155909

GCD(179, 871) = 155909 / 155909

GCD(179, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 179, 871, 698, 666 is 1

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1. What is the GCD of 179, 871, 698, 666?

GCD of 179, 871, 698, 666 is 1

2. Where do I get the detailed procedure to find GCD of 179, 871, 698, 666?

You can find a detailed procedure to find GCD of 179, 871, 698, 666 on our page.

3. How to find GCD of 179, 871, 698, 666 on a calculator?

You can find the GCD of 179, 871, 698, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.