GCD of 678, 165, 36, 370 Calculator

Given Input numbers are 678, 165, 36, 370

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 678, 165, 36, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 165, 36, 370 is 1.

Therefore, GCD of numbers 678, 165, 36, 370 is 1

Given Input Data is 678, 165, 36, 370

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 370 is 2 x 5 x 37

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(678, 165) = 37290

GCD(678, 165) = ( 678 x 165 ) / 37290

GCD(678, 165) = 111870 / 37290

GCD(678, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 370

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

LCM(3, 370) = 1110

GCD(3, 370) = ( 3 x 370 ) / 1110

GCD(3, 370) = 1110 / 1110

GCD(3, 370) = 1

GCD of 678, 165, 36, 370 is 1

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1. What is the GCD of 678, 165, 36, 370?

GCD of 678, 165, 36, 370 is 1

2. Where do I get the detailed procedure to find GCD of 678, 165, 36, 370?

You can find a detailed procedure to find GCD of 678, 165, 36, 370 on our page.

3. How to find GCD of 678, 165, 36, 370 on a calculator?

You can find the GCD of 678, 165, 36, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.