GCD of 770, 388, 21, 829 Calculator

Given Input numbers are 770, 388, 21, 829

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 770, 388, 21, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 388, 21, 829 is 1.

Therefore, GCD of numbers 770, 388, 21, 829 is 1

Given Input Data is 770, 388, 21, 829

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 21 is 3 x 7

Prime Factorization of 829 is 829

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(770, 388) = 149380

GCD(770, 388) = ( 770 x 388 ) / 149380

GCD(770, 388) = 298760 / 149380

GCD(770, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 770, 388, 21, 829 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 190, 85, 445
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1. What is the GCD of 770, 388, 21, 829?

GCD of 770, 388, 21, 829 is 1

2. Where do I get the detailed procedure to find GCD of 770, 388, 21, 829?

You can find a detailed procedure to find GCD of 770, 388, 21, 829 on our page.

3. How to find GCD of 770, 388, 21, 829 on a calculator?

You can find the GCD of 770, 388, 21, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.