GCD of 336, 332, 75, 830 Calculator

Given Input numbers are 336, 332, 75, 830

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 332

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

1, 2, 4, 83, 166, 332

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 336, 332, 75, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 332, 75, 830 is 1.

Therefore, GCD of numbers 336, 332, 75, 830 is 1

Given Input Data is 336, 332, 75, 830

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 830 is 2 x 5 x 83

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(336, 332) = 27888

GCD(336, 332) = ( 336 x 332 ) / 27888

GCD(336, 332) = 111552 / 27888

GCD(336, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 75

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

LCM(4, 75) = 300

GCD(4, 75) = ( 4 x 75 ) / 300

GCD(4, 75) = 300 / 300

GCD(4, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 336, 332, 75, 830 is 1

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• GCD of 109, 937, 68, 347
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• GCD of 243, 498, 14, 654

1. What is the GCD of 336, 332, 75, 830?

GCD of 336, 332, 75, 830 is 1

2. Where do I get the detailed procedure to find GCD of 336, 332, 75, 830?

You can find a detailed procedure to find GCD of 336, 332, 75, 830 on our page.

3. How to find GCD of 336, 332, 75, 830 on a calculator?

You can find the GCD of 336, 332, 75, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.