GCD of 366, 587, 68, 120 Calculator

Given Input numbers are 366, 587, 68, 120

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 587

List of positive integer divisors of 587 that divides 587 without a remainder.

1, 587

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 366, 587, 68, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 587, 68, 120 is 1.

Therefore, GCD of numbers 366, 587, 68, 120 is 1

Given Input Data is 366, 587, 68, 120

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 587 is 587

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 120 is 2 x 2 x 2 x 3 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(366, 587) = 214842

GCD(366, 587) = ( 366 x 587 ) / 214842

GCD(366, 587) = 214842 / 214842

GCD(366, 587) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 366, 587, 68, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 957, 705, 55, 734
• GCD of 310, 261, 49, 549
• GCD of 445, 659, 60, 950
• GCD of 258, 638, 25, 345
• GCD of 278, 627, 58, 443

1. What is the GCD of 366, 587, 68, 120?

GCD of 366, 587, 68, 120 is 1

2. Where do I get the detailed procedure to find GCD of 366, 587, 68, 120?

You can find a detailed procedure to find GCD of 366, 587, 68, 120 on our page.

3. How to find GCD of 366, 587, 68, 120 on a calculator?

You can find the GCD of 366, 587, 68, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.