GCD of 632, 319, 352, 300 Calculator

Given Input numbers are 632, 319, 352, 300

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 319

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

1, 11, 29, 319

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 632, 319, 352, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 319, 352, 300 is 1.

Therefore, GCD of numbers 632, 319, 352, 300 is 1

Given Input Data is 632, 319, 352, 300

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 319 is 11 x 29

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 300 is 2 x 2 x 3 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(632, 319) = 201608

GCD(632, 319) = ( 632 x 319 ) / 201608

GCD(632, 319) = 201608 / 201608

GCD(632, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 632, 319, 352, 300 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 632, 319, 352, 300?

GCD of 632, 319, 352, 300 is 1

2. Where do I get the detailed procedure to find GCD of 632, 319, 352, 300?

You can find a detailed procedure to find GCD of 632, 319, 352, 300 on our page.

3. How to find GCD of 632, 319, 352, 300 on a calculator?

You can find the GCD of 632, 319, 352, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.