GCD of 700, 844, 191, 361 Calculator

Given Input numbers are 700, 844, 191, 361

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 844

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

1, 2, 4, 211, 422, 844

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 700, 844, 191, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 844, 191, 361 is 1.

Therefore, GCD of numbers 700, 844, 191, 361 is 1

Given Input Data is 700, 844, 191, 361

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 191 is 191

Prime Factorization of 361 is 19 x 19

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(700, 844) = 147700

GCD(700, 844) = ( 700 x 844 ) / 147700

GCD(700, 844) = 590800 / 147700

GCD(700, 844) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 191

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

LCM(4, 191) = 764

GCD(4, 191) = ( 4 x 191 ) / 764

GCD(4, 191) = 764 / 764

GCD(4, 191) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 700, 844, 191, 361 is 1

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1. What is the GCD of 700, 844, 191, 361?

GCD of 700, 844, 191, 361 is 1

2. Where do I get the detailed procedure to find GCD of 700, 844, 191, 361?

You can find a detailed procedure to find GCD of 700, 844, 191, 361 on our page.

3. How to find GCD of 700, 844, 191, 361 on a calculator?

You can find the GCD of 700, 844, 191, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.