GCD of 162, 154, 35, 361 Calculator

Given Input numbers are 162, 154, 35, 361

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

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 162, 154, 35, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 154, 35, 361 is 1.

Therefore, GCD of numbers 162, 154, 35, 361 is 1

Given Input Data is 162, 154, 35, 361

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 35 is 5 x 7

Prime Factorization of 361 is 19 x 19

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(162, 154) = 12474

GCD(162, 154) = ( 162 x 154 ) / 12474

GCD(162, 154) = 24948 / 12474

GCD(162, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 162, 154, 35, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 953, 70, 982
• GCD of 429, 898, 99, 451
• GCD of 951, 160, 26, 505
• GCD of 992, 872, 51, 248
• GCD of 873, 851, 70, 583

1. What is the GCD of 162, 154, 35, 361?

GCD of 162, 154, 35, 361 is 1

2. Where do I get the detailed procedure to find GCD of 162, 154, 35, 361?

You can find a detailed procedure to find GCD of 162, 154, 35, 361 on our page.

3. How to find GCD of 162, 154, 35, 361 on a calculator?

You can find the GCD of 162, 154, 35, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.