GCD of 150, 735, 33, 493 Calculator

Given Input numbers are 150, 735, 33, 493

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

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 150, 735, 33, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 735, 33, 493 is 1.

Therefore, GCD of numbers 150, 735, 33, 493 is 1

Given Input Data is 150, 735, 33, 493

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

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 33 is 3 x 11

Prime Factorization of 493 is 17 x 29

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(150, 735) = 7350

GCD(150, 735) = ( 150 x 735 ) / 7350

GCD(150, 735) = 110250 / 7350

GCD(150, 735) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 33

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

LCM(15, 33) = 165

GCD(15, 33) = ( 15 x 33 ) / 165

GCD(15, 33) = 495 / 165

GCD(15, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 493

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

LCM(3, 493) = 1479

GCD(3, 493) = ( 3 x 493 ) / 1479

GCD(3, 493) = 1479 / 1479

GCD(3, 493) = 1

GCD of 150, 735, 33, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 402, 66, 291
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• GCD of 175, 584, 74, 388
• GCD of 416, 324, 97, 120
• GCD of 187, 140, 58, 813

1. What is the GCD of 150, 735, 33, 493?

GCD of 150, 735, 33, 493 is 1

2. Where do I get the detailed procedure to find GCD of 150, 735, 33, 493?

You can find a detailed procedure to find GCD of 150, 735, 33, 493 on our page.

3. How to find GCD of 150, 735, 33, 493 on a calculator?

You can find the GCD of 150, 735, 33, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.