GCD of 174, 361, 109, 160 Calculator

Given Input numbers are 174, 361, 109, 160

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 361

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

1, 19, 361

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 174, 361, 109, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 361, 109, 160 is 1.

Therefore, GCD of numbers 174, 361, 109, 160 is 1

Given Input Data is 174, 361, 109, 160

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 361 is 19 x 19

Prime Factorization of 109 is 109

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(174, 361) = 62814

GCD(174, 361) = ( 174 x 361 ) / 62814

GCD(174, 361) = 62814 / 62814

GCD(174, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 174, 361, 109, 160 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 793, 170, 557, 171
• GCD of 361, 653, 569, 317
• GCD of 432, 449, 493, 228
• GCD of 299, 976, 706, 187
• GCD of 581, 465, 316, 294

1. What is the GCD of 174, 361, 109, 160?

GCD of 174, 361, 109, 160 is 1

2. Where do I get the detailed procedure to find GCD of 174, 361, 109, 160?

You can find a detailed procedure to find GCD of 174, 361, 109, 160 on our page.

3. How to find GCD of 174, 361, 109, 160 on a calculator?

You can find the GCD of 174, 361, 109, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.