GCD of 874, 145, 450, 438 Calculator

Given Input numbers are 874, 145, 450, 438

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 874, 145, 450, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 145, 450, 438 is 1.

Therefore, GCD of numbers 874, 145, 450, 438 is 1

Given Input Data is 874, 145, 450, 438

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 438 is 2 x 3 x 73

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(874, 145) = 126730

GCD(874, 145) = ( 874 x 145 ) / 126730

GCD(874, 145) = 126730 / 126730

GCD(874, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 874, 145, 450, 438 is 1

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1. What is the GCD of 874, 145, 450, 438?

GCD of 874, 145, 450, 438 is 1

2. Where do I get the detailed procedure to find GCD of 874, 145, 450, 438?

You can find a detailed procedure to find GCD of 874, 145, 450, 438 on our page.

3. How to find GCD of 874, 145, 450, 438 on a calculator?

You can find the GCD of 874, 145, 450, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.