GCD of 350, 600, 844, 505 Calculator

Given Input numbers are 350, 600, 844, 505

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 350, 600, 844, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 600, 844, 505 is 1.

Therefore, GCD of numbers 350, 600, 844, 505 is 1

Given Input Data is 350, 600, 844, 505

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 505 is 5 x 101

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, 600) = 4200

GCD(350, 600) = ( 350 x 600 ) / 4200

GCD(350, 600) = 210000 / 4200

GCD(350, 600) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 844

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

LCM(50, 844) = 21100

GCD(50, 844) = ( 50 x 844 ) / 21100

GCD(50, 844) = 42200 / 21100

GCD(50, 844) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 350, 600, 844, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 888, 396, 451
• GCD of 555, 699, 463, 250
• GCD of 899, 490, 451, 904
• GCD of 150, 206, 104, 751
• GCD of 101, 386, 145, 193

1. What is the GCD of 350, 600, 844, 505?

GCD of 350, 600, 844, 505 is 1

2. Where do I get the detailed procedure to find GCD of 350, 600, 844, 505?

You can find a detailed procedure to find GCD of 350, 600, 844, 505 on our page.

3. How to find GCD of 350, 600, 844, 505 on a calculator?

You can find the GCD of 350, 600, 844, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.