GCD of 387, 492, 673, 200 Calculator

Given Input numbers are 387, 492, 673, 200

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

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

Greatest Common Divisior

We found the divisors of 387, 492, 673, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 492, 673, 200 is 1.

Therefore, GCD of numbers 387, 492, 673, 200 is 1

Given Input Data is 387, 492, 673, 200

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 673 is 673

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

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(387, 492) = 63468

GCD(387, 492) = ( 387 x 492 ) / 63468

GCD(387, 492) = 190404 / 63468

GCD(387, 492) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 673

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

LCM(3, 673) = 2019

GCD(3, 673) = ( 3 x 673 ) / 2019

GCD(3, 673) = 2019 / 2019

GCD(3, 673) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 387, 492, 673, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 863, 277, 731
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• GCD of 257, 179, 776, 203
• GCD of 907, 780, 746, 648
• GCD of 819, 402, 739, 783

1. What is the GCD of 387, 492, 673, 200?

GCD of 387, 492, 673, 200 is 1

2. Where do I get the detailed procedure to find GCD of 387, 492, 673, 200?

You can find a detailed procedure to find GCD of 387, 492, 673, 200 on our page.

3. How to find GCD of 387, 492, 673, 200 on a calculator?

You can find the GCD of 387, 492, 673, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.