GCD of 382, 376, 953, 600 Calculator

Given Input numbers are 382, 376, 953, 600

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 382, 376, 953, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 376, 953, 600 is 1.

Therefore, GCD of numbers 382, 376, 953, 600 is 1

Given Input Data is 382, 376, 953, 600

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

Prime Factorization of 382 is 2 x 191

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 953 is 953

Prime Factorization of 600 is 2 x 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(382, 376) = 71816

GCD(382, 376) = ( 382 x 376 ) / 71816

GCD(382, 376) = 143632 / 71816

GCD(382, 376) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 382, 376, 953, 600 is 1

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1. What is the GCD of 382, 376, 953, 600?

GCD of 382, 376, 953, 600 is 1

2. Where do I get the detailed procedure to find GCD of 382, 376, 953, 600?

You can find a detailed procedure to find GCD of 382, 376, 953, 600 on our page.

3. How to find GCD of 382, 376, 953, 600 on a calculator?

You can find the GCD of 382, 376, 953, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.