GCD of 66, 849, 682, 704 Calculator

Given Input numbers are 66, 849, 682, 704

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 66, 849, 682, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 849, 682, 704 is 1.

Therefore, GCD of numbers 66, 849, 682, 704 is 1

Given Input Data is 66, 849, 682, 704

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 849 is 3 x 283

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(66, 849) = 18678

GCD(66, 849) = ( 66 x 849 ) / 18678

GCD(66, 849) = 56034 / 18678

GCD(66, 849) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 682

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

LCM(3, 682) = 2046

GCD(3, 682) = ( 3 x 682 ) / 2046

GCD(3, 682) = 2046 / 2046

GCD(3, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 66, 849, 682, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 828, 492, 368
• GCD of 64, 501, 190, 287
• GCD of 87, 103, 668, 546
• GCD of 82, 808, 701, 706
• GCD of 83, 471, 590, 280

1. What is the GCD of 66, 849, 682, 704?

GCD of 66, 849, 682, 704 is 1

2. Where do I get the detailed procedure to find GCD of 66, 849, 682, 704?

You can find a detailed procedure to find GCD of 66, 849, 682, 704 on our page.

3. How to find GCD of 66, 849, 682, 704 on a calculator?

You can find the GCD of 66, 849, 682, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.