GCD of 552, 822, 42, 150 Calculator

Given Input numbers are 552, 822, 42, 150

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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 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

Greatest Common Divisior

We found the divisors of 552, 822, 42, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 822, 42, 150 is 6.

Therefore, GCD of numbers 552, 822, 42, 150 is 6

Given Input Data is 552, 822, 42, 150

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 42 is 2 x 3 x 7

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(552, 822) = 75624

GCD(552, 822) = ( 552 x 822 ) / 75624

GCD(552, 822) = 453744 / 75624

GCD(552, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 42

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

LCM(6, 42) = 42

GCD(6, 42) = ( 6 x 42 ) / 42

GCD(6, 42) = 252 / 42

GCD(6, 42) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 150

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

LCM(6, 150) = 150

GCD(6, 150) = ( 6 x 150 ) / 150

GCD(6, 150) = 900 / 150

GCD(6, 150) = 6

GCD of 552, 822, 42, 150 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 884, 38, 924
• GCD of 808, 296, 40, 795
• GCD of 238, 248, 23, 771
• GCD of 387, 281, 68, 871
• GCD of 984, 787, 32, 841

1. What is the GCD of 552, 822, 42, 150?

GCD of 552, 822, 42, 150 is 6

2. Where do I get the detailed procedure to find GCD of 552, 822, 42, 150?

You can find a detailed procedure to find GCD of 552, 822, 42, 150 on our page.

3. How to find GCD of 552, 822, 42, 150 on a calculator?

You can find the GCD of 552, 822, 42, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.