GCD of 378, 200, 989, 322 Calculator

Given Input numbers are 378, 200, 989, 322

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 378, 200, 989, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 200, 989, 322 is 1.

Therefore, GCD of numbers 378, 200, 989, 322 is 1

Given Input Data is 378, 200, 989, 322

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 989 is 23 x 43

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(378, 200) = 37800

GCD(378, 200) = ( 378 x 200 ) / 37800

GCD(378, 200) = 75600 / 37800

GCD(378, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 989

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

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

GCD(2, 989) = 1978 / 1978

GCD(2, 989) = 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 378, 200, 989, 322 is 1

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• GCD of 413, 707, 177, 254
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1. What is the GCD of 378, 200, 989, 322?

GCD of 378, 200, 989, 322 is 1

2. Where do I get the detailed procedure to find GCD of 378, 200, 989, 322?

You can find a detailed procedure to find GCD of 378, 200, 989, 322 on our page.

3. How to find GCD of 378, 200, 989, 322 on a calculator?

You can find the GCD of 378, 200, 989, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.