GCD of 178, 474, 682, 797 Calculator

Given Input numbers are 178, 474, 682, 797

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 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 178, 474, 682, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 474, 682, 797 is 1.

Therefore, GCD of numbers 178, 474, 682, 797 is 1

Given Input Data is 178, 474, 682, 797

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 797 is 797

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, 474) = 42186

GCD(178, 474) = ( 178 x 474 ) / 42186

GCD(178, 474) = 84372 / 42186

GCD(178, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 682

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

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

GCD(2, 682) = 1364 / 682

GCD(2, 682) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 797

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

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

GCD(2, 797) = 1594 / 1594

GCD(2, 797) = 1

GCD of 178, 474, 682, 797 is 1

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1. What is the GCD of 178, 474, 682, 797?

GCD of 178, 474, 682, 797 is 1

2. Where do I get the detailed procedure to find GCD of 178, 474, 682, 797?

You can find a detailed procedure to find GCD of 178, 474, 682, 797 on our page.

3. How to find GCD of 178, 474, 682, 797 on a calculator?

You can find the GCD of 178, 474, 682, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.