GCD of 120, 162, 97, 153 Calculator

Given Input numbers are 120, 162, 97, 153

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 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 120, 162, 97, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 162, 97, 153 is 1.

Therefore, GCD of numbers 120, 162, 97, 153 is 1

Given Input Data is 120, 162, 97, 153

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 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 97 is 97

Prime Factorization of 153 is 3 x 3 x 17

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, 162) = 3240

GCD(120, 162) = ( 120 x 162 ) / 3240

GCD(120, 162) = 19440 / 3240

GCD(120, 162) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 97

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

LCM(6, 97) = 582

GCD(6, 97) = ( 6 x 97 ) / 582

GCD(6, 97) = 582 / 582

GCD(6, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 120, 162, 97, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 274, 34, 486
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• GCD of 550, 285, 13, 528
• GCD of 843, 607, 14, 439
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1. What is the GCD of 120, 162, 97, 153?

GCD of 120, 162, 97, 153 is 1

2. Where do I get the detailed procedure to find GCD of 120, 162, 97, 153?

You can find a detailed procedure to find GCD of 120, 162, 97, 153 on our page.

3. How to find GCD of 120, 162, 97, 153 on a calculator?

You can find the GCD of 120, 162, 97, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.