GCD of 942, 150, 808, 827 Calculator

Given Input numbers are 942, 150, 808, 827

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 942, 150, 808, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 150, 808, 827 is 1.

Therefore, GCD of numbers 942, 150, 808, 827 is 1

Given Input Data is 942, 150, 808, 827

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 827 is 827

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(942, 150) = 23550

GCD(942, 150) = ( 942 x 150 ) / 23550

GCD(942, 150) = 141300 / 23550

GCD(942, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 808

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

LCM(6, 808) = 2424

GCD(6, 808) = ( 6 x 808 ) / 2424

GCD(6, 808) = 4848 / 2424

GCD(6, 808) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

GCD of 942, 150, 808, 827 is 1

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1. What is the GCD of 942, 150, 808, 827?

GCD of 942, 150, 808, 827 is 1

2. Where do I get the detailed procedure to find GCD of 942, 150, 808, 827?

You can find a detailed procedure to find GCD of 942, 150, 808, 827 on our page.

3. How to find GCD of 942, 150, 808, 827 on a calculator?

You can find the GCD of 942, 150, 808, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.