GCD of 390, 628, 45, 546 Calculator

Given Input numbers are 390, 628, 45, 546

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 390, 628, 45, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 628, 45, 546 is 1.

Therefore, GCD of numbers 390, 628, 45, 546 is 1

Given Input Data is 390, 628, 45, 546

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(390, 628) = 122460

GCD(390, 628) = ( 390 x 628 ) / 122460

GCD(390, 628) = 244920 / 122460

GCD(390, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 390, 628, 45, 546 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 417, 97, 389
• GCD of 213, 445, 13, 813
• GCD of 370, 357, 22, 556
• GCD of 192, 237, 82, 688
• GCD of 222, 320, 10, 598

1. What is the GCD of 390, 628, 45, 546?

GCD of 390, 628, 45, 546 is 1

2. Where do I get the detailed procedure to find GCD of 390, 628, 45, 546?

You can find a detailed procedure to find GCD of 390, 628, 45, 546 on our page.

3. How to find GCD of 390, 628, 45, 546 on a calculator?

You can find the GCD of 390, 628, 45, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.