GCD of 152, 195, 496, 120 Calculator

Given Input numbers are 152, 195, 496, 120

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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 152, 195, 496, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 195, 496, 120 is 1.

Therefore, GCD of numbers 152, 195, 496, 120 is 1

Given Input Data is 152, 195, 496, 120

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(152, 195) = 29640

GCD(152, 195) = ( 152 x 195 ) / 29640

GCD(152, 195) = 29640 / 29640

GCD(152, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 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 152, 195, 496, 120 is 1

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1. What is the GCD of 152, 195, 496, 120?

GCD of 152, 195, 496, 120 is 1

2. Where do I get the detailed procedure to find GCD of 152, 195, 496, 120?

You can find a detailed procedure to find GCD of 152, 195, 496, 120 on our page.

3. How to find GCD of 152, 195, 496, 120 on a calculator?

You can find the GCD of 152, 195, 496, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.