GCD of 567, 150, 176, 824 Calculator

Given Input numbers are 567, 150, 176, 824

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 567, 150, 176, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 150, 176, 824 is 1.

Therefore, GCD of numbers 567, 150, 176, 824 is 1

Given Input Data is 567, 150, 176, 824

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(567, 150) = 28350

GCD(567, 150) = ( 567 x 150 ) / 28350

GCD(567, 150) = 85050 / 28350

GCD(567, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 176

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

LCM(3, 176) = 528

GCD(3, 176) = ( 3 x 176 ) / 528

GCD(3, 176) = 528 / 528

GCD(3, 176) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 567, 150, 176, 824 is 1

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1. What is the GCD of 567, 150, 176, 824?

GCD of 567, 150, 176, 824 is 1

2. Where do I get the detailed procedure to find GCD of 567, 150, 176, 824?

You can find a detailed procedure to find GCD of 567, 150, 176, 824 on our page.

3. How to find GCD of 567, 150, 176, 824 on a calculator?

You can find the GCD of 567, 150, 176, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.