GCD of 357, 634, 38, 450 Calculator

Given Input numbers are 357, 634, 38, 450

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 357, 634, 38, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 634, 38, 450 is 1.

Therefore, GCD of numbers 357, 634, 38, 450 is 1

Given Input Data is 357, 634, 38, 450

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 634 is 2 x 317

Prime Factorization of 38 is 2 x 19

Prime Factorization of 450 is 2 x 3 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(357, 634) = 226338

GCD(357, 634) = ( 357 x 634 ) / 226338

GCD(357, 634) = 226338 / 226338

GCD(357, 634) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

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

GCD of 357, 634, 38, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 413, 94, 242
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1. What is the GCD of 357, 634, 38, 450?

GCD of 357, 634, 38, 450 is 1

2. Where do I get the detailed procedure to find GCD of 357, 634, 38, 450?

You can find a detailed procedure to find GCD of 357, 634, 38, 450 on our page.

3. How to find GCD of 357, 634, 38, 450 on a calculator?

You can find the GCD of 357, 634, 38, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.