GCD of 450, 357, 448, 627 Calculator

Given Input numbers are 450, 357, 448, 627

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 357

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

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

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Greatest Common Divisior

We found the divisors of 450, 357, 448, 627 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 357, 448, 627 is 1.

Therefore, GCD of numbers 450, 357, 448, 627 is 1

Given Input Data is 450, 357, 448, 627

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 357 is 3 x 7 x 17

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 627 is 3 x 11 x 19

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, 357) = 53550

GCD(450, 357) = ( 450 x 357 ) / 53550

GCD(450, 357) = 160650 / 53550

GCD(450, 357) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 448

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

LCM(3, 448) = 1344

GCD(3, 448) = ( 3 x 448 ) / 1344

GCD(3, 448) = 1344 / 1344

GCD(3, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 627

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

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

GCD(1, 627) = 627 / 627

GCD(1, 627) = 1

GCD of 450, 357, 448, 627 is 1

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1. What is the GCD of 450, 357, 448, 627?

GCD of 450, 357, 448, 627 is 1

2. Where do I get the detailed procedure to find GCD of 450, 357, 448, 627?

You can find a detailed procedure to find GCD of 450, 357, 448, 627 on our page.

3. How to find GCD of 450, 357, 448, 627 on a calculator?

You can find the GCD of 450, 357, 448, 627 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.