GCD of 178, 734, 828, 871 Calculator

Given Input numbers are 178, 734, 828, 871

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 871

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

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 178, 734, 828, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 734, 828, 871 is 1.

Therefore, GCD of numbers 178, 734, 828, 871 is 1

Given Input Data is 178, 734, 828, 871

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 734 is 2 x 367

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 871 is 13 x 67

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(178, 734) = 65326

GCD(178, 734) = ( 178 x 734 ) / 65326

GCD(178, 734) = 130652 / 65326

GCD(178, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

GCD of 178, 734, 828, 871 is 1

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1. What is the GCD of 178, 734, 828, 871?

GCD of 178, 734, 828, 871 is 1

2. Where do I get the detailed procedure to find GCD of 178, 734, 828, 871?

You can find a detailed procedure to find GCD of 178, 734, 828, 871 on our page.

3. How to find GCD of 178, 734, 828, 871 on a calculator?

You can find the GCD of 178, 734, 828, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.