GCD of 777, 698, 217 Calculator

Given Input numbers are 777, 698, 217

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

Divisors of 777

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

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 777, 698, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 698, 217 is 1.

Therefore, GCD of numbers 777, 698, 217 is 1

Given Input Data is 777, 698, 217

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

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 698 is 2 x 349

Prime Factorization of 217 is 7 x 31

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(777, 698) = 542346

GCD(777, 698) = ( 777 x 698 ) / 542346

GCD(777, 698) = 542346 / 542346

GCD(777, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 777, 698, 217 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 416, 683
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• GCD of 281, 735, 264

1. What is the GCD of 777, 698, 217?

GCD of 777, 698, 217 is 1

2. Where do I get the detailed procedure to find GCD of 777, 698, 217?

You can find a detailed procedure to find GCD of 777, 698, 217 on our page.

3. How to find GCD of 777, 698, 217 on a calculator?

You can find the GCD of 777, 698, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.