GCD of 846, 400, 347, 322 Calculator

Given Input numbers are 846, 400, 347, 322

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 846, 400, 347, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 400, 347, 322 is 1.

Therefore, GCD of numbers 846, 400, 347, 322 is 1

Given Input Data is 846, 400, 347, 322

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 347 is 347

Prime Factorization of 322 is 2 x 7 x 23

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(846, 400) = 169200

GCD(846, 400) = ( 846 x 400 ) / 169200

GCD(846, 400) = 338400 / 169200

GCD(846, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 846, 400, 347, 322 is 1

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1. What is the GCD of 846, 400, 347, 322?

GCD of 846, 400, 347, 322 is 1

2. Where do I get the detailed procedure to find GCD of 846, 400, 347, 322?

You can find a detailed procedure to find GCD of 846, 400, 347, 322 on our page.

3. How to find GCD of 846, 400, 347, 322 on a calculator?

You can find the GCD of 846, 400, 347, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.