GCD of 450, 928, 876, 395 Calculator

Given Input numbers are 450, 928, 876, 395

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

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 450, 928, 876, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 928, 876, 395 is 1.

Therefore, GCD of numbers 450, 928, 876, 395 is 1

Given Input Data is 450, 928, 876, 395

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

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 395 is 5 x 79

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(450, 928) = 208800

GCD(450, 928) = ( 450 x 928 ) / 208800

GCD(450, 928) = 417600 / 208800

GCD(450, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 876

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

LCM(2, 876) = 876

GCD(2, 876) = ( 2 x 876 ) / 876

GCD(2, 876) = 1752 / 876

GCD(2, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 450, 928, 876, 395 is 1

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• GCD of 503, 551, 831, 777
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1. What is the GCD of 450, 928, 876, 395?

GCD of 450, 928, 876, 395 is 1

2. Where do I get the detailed procedure to find GCD of 450, 928, 876, 395?

You can find a detailed procedure to find GCD of 450, 928, 876, 395 on our page.

3. How to find GCD of 450, 928, 876, 395 on a calculator?

You can find the GCD of 450, 928, 876, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.