GCD of 380, 961, 34, 704 Calculator

Given Input numbers are 380, 961, 34, 704

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 380, 961, 34, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 961, 34, 704 is 1.

Therefore, GCD of numbers 380, 961, 34, 704 is 1

Given Input Data is 380, 961, 34, 704

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 961 is 31 x 31

Prime Factorization of 34 is 2 x 17

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(380, 961) = 365180

GCD(380, 961) = ( 380 x 961 ) / 365180

GCD(380, 961) = 365180 / 365180

GCD(380, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 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 380, 961, 34, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 456, 68, 401
• GCD of 259, 190, 20, 518
• GCD of 341, 976, 41, 289
• GCD of 505, 573, 52, 691
• GCD of 390, 256, 26, 744

1. What is the GCD of 380, 961, 34, 704?

GCD of 380, 961, 34, 704 is 1

2. Where do I get the detailed procedure to find GCD of 380, 961, 34, 704?

You can find a detailed procedure to find GCD of 380, 961, 34, 704 on our page.

3. How to find GCD of 380, 961, 34, 704 on a calculator?

You can find the GCD of 380, 961, 34, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.