GCD of 674, 208, 399, 364 Calculator

Given Input numbers are 674, 208, 399, 364

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 674, 208, 399, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 208, 399, 364 is 1.

Therefore, GCD of numbers 674, 208, 399, 364 is 1

Given Input Data is 674, 208, 399, 364

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(674, 208) = 70096

GCD(674, 208) = ( 674 x 208 ) / 70096

GCD(674, 208) = 140192 / 70096

GCD(674, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 399

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

LCM(2, 399) = 798

GCD(2, 399) = ( 2 x 399 ) / 798

GCD(2, 399) = 798 / 798

GCD(2, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 674, 208, 399, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 252, 797, 660
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1. What is the GCD of 674, 208, 399, 364?

GCD of 674, 208, 399, 364 is 1

2. Where do I get the detailed procedure to find GCD of 674, 208, 399, 364?

You can find a detailed procedure to find GCD of 674, 208, 399, 364 on our page.

3. How to find GCD of 674, 208, 399, 364 on a calculator?

You can find the GCD of 674, 208, 399, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.