GCD of 42, 742, 800, 869 Calculator

Given Input numbers are 42, 742, 800, 869

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 42, 742, 800, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 742, 800, 869 is 1.

Therefore, GCD of numbers 42, 742, 800, 869 is 1

Given Input Data is 42, 742, 800, 869

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 742 is 2 x 7 x 53

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 869 is 11 x 79

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, 742) = 2226

GCD(42, 742) = ( 42 x 742 ) / 2226

GCD(42, 742) = 31164 / 2226

GCD(42, 742) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 800

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

LCM(14, 800) = 5600

GCD(14, 800) = ( 14 x 800 ) / 5600

GCD(14, 800) = 11200 / 5600

GCD(14, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 42, 742, 800, 869 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 814, 832, 417
• GCD of 63, 168, 174, 676
• GCD of 56, 976, 612, 143
• GCD of 37, 429, 838, 189
• GCD of 78, 427, 448, 910

1. What is the GCD of 42, 742, 800, 869?

GCD of 42, 742, 800, 869 is 1

2. Where do I get the detailed procedure to find GCD of 42, 742, 800, 869?

You can find a detailed procedure to find GCD of 42, 742, 800, 869 on our page.

3. How to find GCD of 42, 742, 800, 869 on a calculator?

You can find the GCD of 42, 742, 800, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.