GCD of 679, 704, 917, 382 Calculator

Given Input numbers are 679, 704, 917, 382

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 679, 704, 917, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 704, 917, 382 is 1.

Therefore, GCD of numbers 679, 704, 917, 382 is 1

Given Input Data is 679, 704, 917, 382

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

Prime Factorization of 679 is 7 x 97

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 382 is 2 x 191

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(679, 704) = 478016

GCD(679, 704) = ( 679 x 704 ) / 478016

GCD(679, 704) = 478016 / 478016

GCD(679, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 382

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

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

GCD(1, 382) = 382 / 382

GCD(1, 382) = 1

GCD of 679, 704, 917, 382 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 263, 680, 598, 601
• GCD of 175, 141, 862, 430
• GCD of 869, 170, 771, 984
• GCD of 134, 455, 395, 232
• GCD of 112, 867, 359, 382

1. What is the GCD of 679, 704, 917, 382?

GCD of 679, 704, 917, 382 is 1

2. Where do I get the detailed procedure to find GCD of 679, 704, 917, 382?

You can find a detailed procedure to find GCD of 679, 704, 917, 382 on our page.

3. How to find GCD of 679, 704, 917, 382 on a calculator?

You can find the GCD of 679, 704, 917, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.