GCD of 189, 771, 69, 300 Calculator

Given Input numbers are 189, 771, 69, 300

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 189, 771, 69, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 771, 69, 300 is 3.

Therefore, GCD of numbers 189, 771, 69, 300 is 3

Given Input Data is 189, 771, 69, 300

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 771 is 3 x 257

Prime Factorization of 69 is 3 x 23

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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(189, 771) = 48573

GCD(189, 771) = ( 189 x 771 ) / 48573

GCD(189, 771) = 145719 / 48573

GCD(189, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 300

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

LCM(3, 300) = 300

GCD(3, 300) = ( 3 x 300 ) / 300

GCD(3, 300) = 900 / 300

GCD(3, 300) = 3

GCD of 189, 771, 69, 300 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 873, 59, 463
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• GCD of 723, 245, 86, 609
• GCD of 362, 298, 38, 461
• GCD of 777, 389, 73, 446

1. What is the GCD of 189, 771, 69, 300?

GCD of 189, 771, 69, 300 is 3

2. Where do I get the detailed procedure to find GCD of 189, 771, 69, 300?

You can find a detailed procedure to find GCD of 189, 771, 69, 300 on our page.

3. How to find GCD of 189, 771, 69, 300 on a calculator?

You can find the GCD of 189, 771, 69, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.