GCD of 803, 377, 334, 164 Calculator

Given Input numbers are 803, 377, 334, 164

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 803, 377, 334, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 377, 334, 164 is 1.

Therefore, GCD of numbers 803, 377, 334, 164 is 1

Given Input Data is 803, 377, 334, 164

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 377 is 13 x 29

Prime Factorization of 334 is 2 x 167

Prime Factorization of 164 is 2 x 2 x 41

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(803, 377) = 302731

GCD(803, 377) = ( 803 x 377 ) / 302731

GCD(803, 377) = 302731 / 302731

GCD(803, 377) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 803, 377, 334, 164 is 1

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1. What is the GCD of 803, 377, 334, 164?

GCD of 803, 377, 334, 164 is 1

2. Where do I get the detailed procedure to find GCD of 803, 377, 334, 164?

You can find a detailed procedure to find GCD of 803, 377, 334, 164 on our page.

3. How to find GCD of 803, 377, 334, 164 on a calculator?

You can find the GCD of 803, 377, 334, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.