GCD of 350, 363, 74, 689 Calculator

Given Input numbers are 350, 363, 74, 689

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 350, 363, 74, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 363, 74, 689 is 1.

Therefore, GCD of numbers 350, 363, 74, 689 is 1

Given Input Data is 350, 363, 74, 689

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 689 is 13 x 53

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(350, 363) = 127050

GCD(350, 363) = ( 350 x 363 ) / 127050

GCD(350, 363) = 127050 / 127050

GCD(350, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 350, 363, 74, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 539, 22, 500
• GCD of 100, 137, 40, 799
• GCD of 417, 598, 32, 400
• GCD of 621, 706, 89, 764
• GCD of 388, 192, 47, 171

1. What is the GCD of 350, 363, 74, 689?

GCD of 350, 363, 74, 689 is 1

2. Where do I get the detailed procedure to find GCD of 350, 363, 74, 689?

You can find a detailed procedure to find GCD of 350, 363, 74, 689 on our page.

3. How to find GCD of 350, 363, 74, 689 on a calculator?

You can find the GCD of 350, 363, 74, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.