GCD of 699, 642, 777 Calculator

Given Input numbers are 699, 642, 777

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 699, 642, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 642, 777 is 3.

Therefore, GCD of numbers 699, 642, 777 is 3

Given Input Data is 699, 642, 777

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 642 is 2 x 3 x 107

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(699, 642) = 149586

GCD(699, 642) = ( 699 x 642 ) / 149586

GCD(699, 642) = 448758 / 149586

GCD(699, 642) = 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 699, 642, 777 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 230, 367
• GCD of 907, 787, 720
• GCD of 223, 999, 648
• GCD of 365, 615, 811
• GCD of 974, 651, 627

1. What is the GCD of 699, 642, 777?

GCD of 699, 642, 777 is 3

2. Where do I get the detailed procedure to find GCD of 699, 642, 777?

You can find a detailed procedure to find GCD of 699, 642, 777 on our page.

3. How to find GCD of 699, 642, 777 on a calculator?

You can find the GCD of 699, 642, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.