GCD of 529, 150, 750, 272 Calculator

Given Input numbers are 529, 150, 750, 272

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

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 529, 150, 750, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 150, 750, 272 is 1.

Therefore, GCD of numbers 529, 150, 750, 272 is 1

Given Input Data is 529, 150, 750, 272

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

Prime Factorization of 529 is 23 x 23

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(529, 150) = 79350

GCD(529, 150) = ( 529 x 150 ) / 79350

GCD(529, 150) = 79350 / 79350

GCD(529, 150) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 750

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

LCM(1, 750) = 750

GCD(1, 750) = ( 1 x 750 ) / 750

GCD(1, 750) = 750 / 750

GCD(1, 750) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 529, 150, 750, 272 is 1

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1. What is the GCD of 529, 150, 750, 272?

GCD of 529, 150, 750, 272 is 1

2. Where do I get the detailed procedure to find GCD of 529, 150, 750, 272?

You can find a detailed procedure to find GCD of 529, 150, 750, 272 on our page.

3. How to find GCD of 529, 150, 750, 272 on a calculator?

You can find the GCD of 529, 150, 750, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.