GCD of 673, 362, 42, 682 Calculator

Given Input numbers are 673, 362, 42, 682

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

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Greatest Common Divisior

We found the divisors of 673, 362, 42, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 673, 362, 42, 682 is 1.

Therefore, GCD of numbers 673, 362, 42, 682 is 1

Given Input Data is 673, 362, 42, 682

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

Prime Factorization of 673 is 673

Prime Factorization of 362 is 2 x 181

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 682 is 2 x 11 x 31

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(673, 362) = 243626

GCD(673, 362) = ( 673 x 362 ) / 243626

GCD(673, 362) = 243626 / 243626

GCD(673, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 673, 362, 42, 682 is 1

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1. What is the GCD of 673, 362, 42, 682?

GCD of 673, 362, 42, 682 is 1

2. Where do I get the detailed procedure to find GCD of 673, 362, 42, 682?

You can find a detailed procedure to find GCD of 673, 362, 42, 682 on our page.

3. How to find GCD of 673, 362, 42, 682 on a calculator?

You can find the GCD of 673, 362, 42, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.