GCD of 360, 549, 67, 378 Calculator

Given Input numbers are 360, 549, 67, 378

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 360, 549, 67, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 549, 67, 378 is 1.

Therefore, GCD of numbers 360, 549, 67, 378 is 1

Given Input Data is 360, 549, 67, 378

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 67 is 67

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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(360, 549) = 21960

GCD(360, 549) = ( 360 x 549 ) / 21960

GCD(360, 549) = 197640 / 21960

GCD(360, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 67

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

LCM(9, 67) = 603

GCD(9, 67) = ( 9 x 67 ) / 603

GCD(9, 67) = 603 / 603

GCD(9, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 360, 549, 67, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 128, 20, 273
• GCD of 741, 194, 60, 961
• GCD of 868, 307, 87, 610
• GCD of 276, 273, 96, 936
• GCD of 381, 525, 91, 714

1. What is the GCD of 360, 549, 67, 378?

GCD of 360, 549, 67, 378 is 1

2. Where do I get the detailed procedure to find GCD of 360, 549, 67, 378?

You can find a detailed procedure to find GCD of 360, 549, 67, 378 on our page.

3. How to find GCD of 360, 549, 67, 378 on a calculator?

You can find the GCD of 360, 549, 67, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.