GCD of 42, 177, 608, 982 Calculator

Given Input numbers are 42, 177, 608, 982

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 42, 177, 608, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 177, 608, 982 is 1.

Therefore, GCD of numbers 42, 177, 608, 982 is 1

Given Input Data is 42, 177, 608, 982

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 177 is 3 x 59

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 982 is 2 x 491

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(42, 177) = 2478

GCD(42, 177) = ( 42 x 177 ) / 2478

GCD(42, 177) = 7434 / 2478

GCD(42, 177) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 608

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

LCM(3, 608) = 1824

GCD(3, 608) = ( 3 x 608 ) / 1824

GCD(3, 608) = 1824 / 1824

GCD(3, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 42, 177, 608, 982 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 384, 585, 232
• GCD of 57, 118, 983, 155
• GCD of 64, 828, 361, 422
• GCD of 20, 161, 752, 224
• GCD of 56, 503, 372, 287

1. What is the GCD of 42, 177, 608, 982?

GCD of 42, 177, 608, 982 is 1

2. Where do I get the detailed procedure to find GCD of 42, 177, 608, 982?

You can find a detailed procedure to find GCD of 42, 177, 608, 982 on our page.

3. How to find GCD of 42, 177, 608, 982 on a calculator?

You can find the GCD of 42, 177, 608, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.