GCD of 777, 514, 901, 688 Calculator

Given Input numbers are 777, 514, 901, 688

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 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 777, 514, 901, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 514, 901, 688 is 1.

Therefore, GCD of numbers 777, 514, 901, 688 is 1

Given Input Data is 777, 514, 901, 688

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 514 is 2 x 257

Prime Factorization of 901 is 17 x 53

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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, 514) = 399378

GCD(777, 514) = ( 777 x 514 ) / 399378

GCD(777, 514) = 399378 / 399378

GCD(777, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 777, 514, 901, 688 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 421, 939, 697, 428
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• GCD of 734, 734, 589, 789

1. What is the GCD of 777, 514, 901, 688?

GCD of 777, 514, 901, 688 is 1

2. Where do I get the detailed procedure to find GCD of 777, 514, 901, 688?

You can find a detailed procedure to find GCD of 777, 514, 901, 688 on our page.

3. How to find GCD of 777, 514, 901, 688 on a calculator?

You can find the GCD of 777, 514, 901, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.