GCD of 165, 996, 900, 735 Calculator

Given Input numbers are 165, 996, 900, 735

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

Greatest Common Divisior

We found the divisors of 165, 996, 900, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 996, 900, 735 is 3.

Therefore, GCD of numbers 165, 996, 900, 735 is 3

Given Input Data is 165, 996, 900, 735

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(165, 996) = 54780

GCD(165, 996) = ( 165 x 996 ) / 54780

GCD(165, 996) = 164340 / 54780

GCD(165, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 900

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

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

GCD(3, 900) = 2700 / 900

GCD(3, 900) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

GCD of 165, 996, 900, 735 is 3

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1. What is the GCD of 165, 996, 900, 735?

GCD of 165, 996, 900, 735 is 3

2. Where do I get the detailed procedure to find GCD of 165, 996, 900, 735?

You can find a detailed procedure to find GCD of 165, 996, 900, 735 on our page.

3. How to find GCD of 165, 996, 900, 735 on a calculator?

You can find the GCD of 165, 996, 900, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.