GCD of 301, 109, 768, 704 Calculator

Given Input numbers are 301, 109, 768, 704

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 301, 109, 768, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 109, 768, 704 is 1.

Therefore, GCD of numbers 301, 109, 768, 704 is 1

Given Input Data is 301, 109, 768, 704

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 109 is 109

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(301, 109) = 32809

GCD(301, 109) = ( 301 x 109 ) / 32809

GCD(301, 109) = 32809 / 32809

GCD(301, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 768

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

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

GCD(1, 768) = 768 / 768

GCD(1, 768) = 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 301, 109, 768, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 471, 353, 842
• GCD of 185, 110, 580, 673
• GCD of 634, 310, 346, 969
• GCD of 949, 438, 746, 190
• GCD of 896, 379, 869, 627

1. What is the GCD of 301, 109, 768, 704?

GCD of 301, 109, 768, 704 is 1

2. Where do I get the detailed procedure to find GCD of 301, 109, 768, 704?

You can find a detailed procedure to find GCD of 301, 109, 768, 704 on our page.

3. How to find GCD of 301, 109, 768, 704 on a calculator?

You can find the GCD of 301, 109, 768, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.