GCD of 332, 200, 80, 319 Calculator

Given Input numbers are 332, 200, 80, 319

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 332, 200, 80, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 200, 80, 319 is 1.

Therefore, GCD of numbers 332, 200, 80, 319 is 1

Given Input Data is 332, 200, 80, 319

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

Prime Factorization of 332 is 2 x 2 x 83

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 319 is 11 x 29

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(332, 200) = 16600

GCD(332, 200) = ( 332 x 200 ) / 16600

GCD(332, 200) = 66400 / 16600

GCD(332, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 80

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

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

GCD(4, 80) = 320 / 80

GCD(4, 80) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 319

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

LCM(4, 319) = 1276

GCD(4, 319) = ( 4 x 319 ) / 1276

GCD(4, 319) = 1276 / 1276

GCD(4, 319) = 1

GCD of 332, 200, 80, 319 is 1

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• GCD of 389, 410, 95, 626
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1. What is the GCD of 332, 200, 80, 319?

GCD of 332, 200, 80, 319 is 1

2. Where do I get the detailed procedure to find GCD of 332, 200, 80, 319?

You can find a detailed procedure to find GCD of 332, 200, 80, 319 on our page.

3. How to find GCD of 332, 200, 80, 319 on a calculator?

You can find the GCD of 332, 200, 80, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.