GCD of 900, 370, 35, 162 Calculator

Given Input numbers are 900, 370, 35, 162

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

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 900, 370, 35, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 370, 35, 162 is 1.

Therefore, GCD of numbers 900, 370, 35, 162 is 1

Given Input Data is 900, 370, 35, 162

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

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 35 is 5 x 7

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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(900, 370) = 33300

GCD(900, 370) = ( 900 x 370 ) / 33300

GCD(900, 370) = 333000 / 33300

GCD(900, 370) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 35

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

LCM(10, 35) = 70

GCD(10, 35) = ( 10 x 35 ) / 70

GCD(10, 35) = 350 / 70

GCD(10, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 162

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

LCM(5, 162) = 810

GCD(5, 162) = ( 5 x 162 ) / 810

GCD(5, 162) = 810 / 810

GCD(5, 162) = 1

GCD of 900, 370, 35, 162 is 1

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1. What is the GCD of 900, 370, 35, 162?

GCD of 900, 370, 35, 162 is 1

2. Where do I get the detailed procedure to find GCD of 900, 370, 35, 162?

You can find a detailed procedure to find GCD of 900, 370, 35, 162 on our page.

3. How to find GCD of 900, 370, 35, 162 on a calculator?

You can find the GCD of 900, 370, 35, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.