GCD of 189, 951, 777 Calculator

Given Input numbers are 189, 951, 777

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 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Greatest Common Divisior

We found the divisors of 189, 951, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 951, 777 is 3.

Therefore, GCD of numbers 189, 951, 777 is 3

Given Input Data is 189, 951, 777

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 951 is 3 x 317

Prime Factorization of 777 is 3 x 7 x 37

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, 951) = 59913

GCD(189, 951) = ( 189 x 951 ) / 59913

GCD(189, 951) = 179739 / 59913

GCD(189, 951) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 777

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

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

GCD(3, 777) = 2331 / 777

GCD(3, 777) = 3

GCD of 189, 951, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 455, 324
• GCD of 938, 149, 765
• GCD of 577, 229, 846
• GCD of 120, 617, 266
• GCD of 400, 557, 444

1. What is the GCD of 189, 951, 777?

GCD of 189, 951, 777 is 3

2. Where do I get the detailed procedure to find GCD of 189, 951, 777?

You can find a detailed procedure to find GCD of 189, 951, 777 on our page.

3. How to find GCD of 189, 951, 777 on a calculator?

You can find the GCD of 189, 951, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.