GCD of 165, 362, 50, 142 Calculator

Given Input numbers are 165, 362, 50, 142

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 165, 362, 50, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 362, 50, 142 is 1.

Therefore, GCD of numbers 165, 362, 50, 142 is 1

Given Input Data is 165, 362, 50, 142

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 362 is 2 x 181

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 142 is 2 x 71

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(165, 362) = 59730

GCD(165, 362) = ( 165 x 362 ) / 59730

GCD(165, 362) = 59730 / 59730

GCD(165, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 165, 362, 50, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 361, 15, 769
• GCD of 534, 526, 51, 187
• GCD of 830, 374, 57, 854
• GCD of 475, 468, 94, 718
• GCD of 168, 853, 77, 861

1. What is the GCD of 165, 362, 50, 142?

GCD of 165, 362, 50, 142 is 1

2. Where do I get the detailed procedure to find GCD of 165, 362, 50, 142?

You can find a detailed procedure to find GCD of 165, 362, 50, 142 on our page.

3. How to find GCD of 165, 362, 50, 142 on a calculator?

You can find the GCD of 165, 362, 50, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.