GCD of 850, 178, 15, 649 Calculator

Given Input numbers are 850, 178, 15, 649

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 850, 178, 15, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 178, 15, 649 is 1.

Therefore, GCD of numbers 850, 178, 15, 649 is 1

Given Input Data is 850, 178, 15, 649

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 178 is 2 x 89

Prime Factorization of 15 is 3 x 5

Prime Factorization of 649 is 11 x 59

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(850, 178) = 75650

GCD(850, 178) = ( 850 x 178 ) / 75650

GCD(850, 178) = 151300 / 75650

GCD(850, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 850, 178, 15, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 100, 94, 635
• GCD of 219, 259, 97, 794
• GCD of 289, 460, 61, 275
• GCD of 143, 565, 11, 774
• GCD of 605, 836, 29, 376

1. What is the GCD of 850, 178, 15, 649?

GCD of 850, 178, 15, 649 is 1

2. Where do I get the detailed procedure to find GCD of 850, 178, 15, 649?

You can find a detailed procedure to find GCD of 850, 178, 15, 649 on our page.

3. How to find GCD of 850, 178, 15, 649 on a calculator?

You can find the GCD of 850, 178, 15, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.