GCD of 812, 678, 365, 142 Calculator

Given Input numbers are 812, 678, 365, 142

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

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 812, 678, 365, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 678, 365, 142 is 1.

Therefore, GCD of numbers 812, 678, 365, 142 is 1

Given Input Data is 812, 678, 365, 142

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 365 is 5 x 73

Prime Factorization of 142 is 2 x 71

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(812, 678) = 275268

GCD(812, 678) = ( 812 x 678 ) / 275268

GCD(812, 678) = 550536 / 275268

GCD(812, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 812, 678, 365, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 240, 949, 343
• GCD of 838, 765, 605, 376
• GCD of 583, 228, 717, 839
• GCD of 638, 256, 568, 541
• GCD of 756, 446, 663, 674

1. What is the GCD of 812, 678, 365, 142?

GCD of 812, 678, 365, 142 is 1

2. Where do I get the detailed procedure to find GCD of 812, 678, 365, 142?

You can find a detailed procedure to find GCD of 812, 678, 365, 142 on our page.

3. How to find GCD of 812, 678, 365, 142 on a calculator?

You can find the GCD of 812, 678, 365, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.