GCD of 42, 745, 182, 508 Calculator

Given Input numbers are 42, 745, 182, 508

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 42, 745, 182, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 745, 182, 508 is 1.

Therefore, GCD of numbers 42, 745, 182, 508 is 1

Given Input Data is 42, 745, 182, 508

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 745 is 5 x 149

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 508 is 2 x 2 x 127

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, 745) = 31290

GCD(42, 745) = ( 42 x 745 ) / 31290

GCD(42, 745) = 31290 / 31290

GCD(42, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 182

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

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

GCD(1, 182) = 182 / 182

GCD(1, 182) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 42, 745, 182, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 360, 469, 266
• GCD of 72, 165, 207, 746
• GCD of 30, 839, 721, 217
• GCD of 12, 682, 780, 878
• GCD of 71, 461, 194, 573

1. What is the GCD of 42, 745, 182, 508?

GCD of 42, 745, 182, 508 is 1

2. Where do I get the detailed procedure to find GCD of 42, 745, 182, 508?

You can find a detailed procedure to find GCD of 42, 745, 182, 508 on our page.

3. How to find GCD of 42, 745, 182, 508 on a calculator?

You can find the GCD of 42, 745, 182, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.