GCD of 359, 703, 42, 626 Calculator

Given Input numbers are 359, 703, 42, 626

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 359, 703, 42, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 703, 42, 626 is 1.

Therefore, GCD of numbers 359, 703, 42, 626 is 1

Given Input Data is 359, 703, 42, 626

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

Prime Factorization of 359 is 359

Prime Factorization of 703 is 19 x 37

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 626 is 2 x 313

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(359, 703) = 252377

GCD(359, 703) = ( 359 x 703 ) / 252377

GCD(359, 703) = 252377 / 252377

GCD(359, 703) = 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 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 359, 703, 42, 626 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 650, 49, 936
• GCD of 458, 496, 32, 318
• GCD of 661, 625, 35, 397
• GCD of 207, 325, 25, 370
• GCD of 781, 189, 90, 717

1. What is the GCD of 359, 703, 42, 626?

GCD of 359, 703, 42, 626 is 1

2. Where do I get the detailed procedure to find GCD of 359, 703, 42, 626?

You can find a detailed procedure to find GCD of 359, 703, 42, 626 on our page.

3. How to find GCD of 359, 703, 42, 626 on a calculator?

You can find the GCD of 359, 703, 42, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.