GCD of 120, 408, 83, 602 Calculator

Given Input numbers are 120, 408, 83, 602

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

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Greatest Common Divisior

We found the divisors of 120, 408, 83, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 408, 83, 602 is 1.

Therefore, GCD of numbers 120, 408, 83, 602 is 1

Given Input Data is 120, 408, 83, 602

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 83 is 83

Prime Factorization of 602 is 2 x 7 x 43

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(120, 408) = 2040

GCD(120, 408) = ( 120 x 408 ) / 2040

GCD(120, 408) = 48960 / 2040

GCD(120, 408) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 83

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

LCM(24, 83) = 1992

GCD(24, 83) = ( 24 x 83 ) / 1992

GCD(24, 83) = 1992 / 1992

GCD(24, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

GCD of 120, 408, 83, 602 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 128, 15, 696
• GCD of 275, 760, 60, 656
• GCD of 461, 331, 35, 589
• GCD of 380, 291, 67, 102
• GCD of 172, 494, 28, 608

1. What is the GCD of 120, 408, 83, 602?

GCD of 120, 408, 83, 602 is 1

2. Where do I get the detailed procedure to find GCD of 120, 408, 83, 602?

You can find a detailed procedure to find GCD of 120, 408, 83, 602 on our page.

3. How to find GCD of 120, 408, 83, 602 on a calculator?

You can find the GCD of 120, 408, 83, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.