GCD of 769, 777, 300, 471 Calculator

Given Input numbers are 769, 777, 300, 471

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

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 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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 769, 777, 300, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 777, 300, 471 is 1.

Therefore, GCD of numbers 769, 777, 300, 471 is 1

Given Input Data is 769, 777, 300, 471

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

Prime Factorization of 769 is 769

Prime Factorization of 777 is 3 x 7 x 37

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

Prime Factorization of 471 is 3 x 157

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(769, 777) = 597513

GCD(769, 777) = ( 769 x 777 ) / 597513

GCD(769, 777) = 597513 / 597513

GCD(769, 777) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 769, 777, 300, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 780, 194, 388
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• GCD of 612, 581, 174, 942
• GCD of 868, 901, 916, 387
• GCD of 606, 834, 526, 278

1. What is the GCD of 769, 777, 300, 471?

GCD of 769, 777, 300, 471 is 1

2. Where do I get the detailed procedure to find GCD of 769, 777, 300, 471?

You can find a detailed procedure to find GCD of 769, 777, 300, 471 on our page.

3. How to find GCD of 769, 777, 300, 471 on a calculator?

You can find the GCD of 769, 777, 300, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.