GCD of 892, 723, 608, 200 Calculator

Given Input numbers are 892, 723, 608, 200

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 892, 723, 608, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 723, 608, 200 is 1.

Therefore, GCD of numbers 892, 723, 608, 200 is 1

Given Input Data is 892, 723, 608, 200

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 723 is 3 x 241

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(892, 723) = 644916

GCD(892, 723) = ( 892 x 723 ) / 644916

GCD(892, 723) = 644916 / 644916

GCD(892, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 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 892, 723, 608, 200 is 1

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• GCD of 613, 380, 275, 551
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1. What is the GCD of 892, 723, 608, 200?

GCD of 892, 723, 608, 200 is 1

2. Where do I get the detailed procedure to find GCD of 892, 723, 608, 200?

You can find a detailed procedure to find GCD of 892, 723, 608, 200 on our page.

3. How to find GCD of 892, 723, 608, 200 on a calculator?

You can find the GCD of 892, 723, 608, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.