GCD of 900, 211, 96, 169 Calculator

Given Input numbers are 900, 211, 96, 169

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 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 900, 211, 96, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 211, 96, 169 is 1.

Therefore, GCD of numbers 900, 211, 96, 169 is 1

Given Input Data is 900, 211, 96, 169

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 211 is 211

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 169 is 13 x 13

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, 211) = 189900

GCD(900, 211) = ( 900 x 211 ) / 189900

GCD(900, 211) = 189900 / 189900

GCD(900, 211) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 900, 211, 96, 169 is 1

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• GCD of 699, 668, 15, 703
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1. What is the GCD of 900, 211, 96, 169?

GCD of 900, 211, 96, 169 is 1

2. Where do I get the detailed procedure to find GCD of 900, 211, 96, 169?

You can find a detailed procedure to find GCD of 900, 211, 96, 169 on our page.

3. How to find GCD of 900, 211, 96, 169 on a calculator?

You can find the GCD of 900, 211, 96, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.