GCD of 385, 506, 168, 120 Calculator

Given Input numbers are 385, 506, 168, 120

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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 385, 506, 168, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 506, 168, 120 is 1.

Therefore, GCD of numbers 385, 506, 168, 120 is 1

Given Input Data is 385, 506, 168, 120

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(385, 506) = 17710

GCD(385, 506) = ( 385 x 506 ) / 17710

GCD(385, 506) = 194810 / 17710

GCD(385, 506) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 168

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

LCM(11, 168) = 1848

GCD(11, 168) = ( 11 x 168 ) / 1848

GCD(11, 168) = 1848 / 1848

GCD(11, 168) = 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 385, 506, 168, 120 is 1

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1. What is the GCD of 385, 506, 168, 120?

GCD of 385, 506, 168, 120 is 1

2. Where do I get the detailed procedure to find GCD of 385, 506, 168, 120?

You can find a detailed procedure to find GCD of 385, 506, 168, 120 on our page.

3. How to find GCD of 385, 506, 168, 120 on a calculator?

You can find the GCD of 385, 506, 168, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.