GCD of 704, 371, 16, 674 Calculator

Given Input numbers are 704, 371, 16, 674

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

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 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 704, 371, 16, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 371, 16, 674 is 1.

Therefore, GCD of numbers 704, 371, 16, 674 is 1

Given Input Data is 704, 371, 16, 674

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

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 674 is 2 x 337

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(704, 371) = 261184

GCD(704, 371) = ( 704 x 371 ) / 261184

GCD(704, 371) = 261184 / 261184

GCD(704, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 704, 371, 16, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 558, 93, 840
• GCD of 734, 472, 83, 647
• GCD of 525, 913, 64, 116
• GCD of 168, 648, 63, 167
• GCD of 467, 416, 54, 804

1. What is the GCD of 704, 371, 16, 674?

GCD of 704, 371, 16, 674 is 1

2. Where do I get the detailed procedure to find GCD of 704, 371, 16, 674?

You can find a detailed procedure to find GCD of 704, 371, 16, 674 on our page.

3. How to find GCD of 704, 371, 16, 674 on a calculator?

You can find the GCD of 704, 371, 16, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.