GCD of 45, 122, 185, 179 Calculator

Given Input numbers are 45, 122, 185, 179

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 45, 122, 185, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 122, 185, 179 is 1.

Therefore, GCD of numbers 45, 122, 185, 179 is 1

Given Input Data is 45, 122, 185, 179

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 122 is 2 x 61

Prime Factorization of 185 is 5 x 37

Prime Factorization of 179 is 179

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(45, 122) = 5490

GCD(45, 122) = ( 45 x 122 ) / 5490

GCD(45, 122) = 5490 / 5490

GCD(45, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 185

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

LCM(1, 185) = 185

GCD(1, 185) = ( 1 x 185 ) / 185

GCD(1, 185) = 185 / 185

GCD(1, 185) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 179

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

LCM(1, 179) = 179

GCD(1, 179) = ( 1 x 179 ) / 179

GCD(1, 179) = 179 / 179

GCD(1, 179) = 1

GCD of 45, 122, 185, 179 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 485, 983, 252
• GCD of 60, 182, 915, 691
• GCD of 86, 892, 954, 311
• GCD of 29, 477, 971, 522
• GCD of 78, 803, 536, 406

1. What is the GCD of 45, 122, 185, 179?

GCD of 45, 122, 185, 179 is 1

2. Where do I get the detailed procedure to find GCD of 45, 122, 185, 179?

You can find a detailed procedure to find GCD of 45, 122, 185, 179 on our page.

3. How to find GCD of 45, 122, 185, 179 on a calculator?

You can find the GCD of 45, 122, 185, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.