GCD of 674, 100, 868, 399 Calculator

Given Input numbers are 674, 100, 868, 399

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 399

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

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

Greatest Common Divisior

We found the divisors of 674, 100, 868, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 100, 868, 399 is 1.

Therefore, GCD of numbers 674, 100, 868, 399 is 1

Given Input Data is 674, 100, 868, 399

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 399 is 3 x 7 x 19

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, 100) = 33700

GCD(674, 100) = ( 674 x 100 ) / 33700

GCD(674, 100) = 67400 / 33700

GCD(674, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 868

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

LCM(2, 868) = 868

GCD(2, 868) = ( 2 x 868 ) / 868

GCD(2, 868) = 1736 / 868

GCD(2, 868) = 2

Step3:

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

GCD of 674, 100, 868, 399 is 1

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1. What is the GCD of 674, 100, 868, 399?

GCD of 674, 100, 868, 399 is 1

2. Where do I get the detailed procedure to find GCD of 674, 100, 868, 399?

You can find a detailed procedure to find GCD of 674, 100, 868, 399 on our page.

3. How to find GCD of 674, 100, 868, 399 on a calculator?

You can find the GCD of 674, 100, 868, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.