GCD of 616, 164, 89, 446 Calculator

Given Input numbers are 616, 164, 89, 446

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

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 616, 164, 89, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 164, 89, 446 is 1.

Therefore, GCD of numbers 616, 164, 89, 446 is 1

Given Input Data is 616, 164, 89, 446

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 89 is 89

Prime Factorization of 446 is 2 x 223

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(616, 164) = 25256

GCD(616, 164) = ( 616 x 164 ) / 25256

GCD(616, 164) = 101024 / 25256

GCD(616, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 616, 164, 89, 446 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 972, 49, 678
• GCD of 571, 561, 97, 221
• GCD of 470, 119, 72, 135
• GCD of 480, 865, 80, 398
• GCD of 242, 617, 16, 380

1. What is the GCD of 616, 164, 89, 446?

GCD of 616, 164, 89, 446 is 1

2. Where do I get the detailed procedure to find GCD of 616, 164, 89, 446?

You can find a detailed procedure to find GCD of 616, 164, 89, 446 on our page.

3. How to find GCD of 616, 164, 89, 446 on a calculator?

You can find the GCD of 616, 164, 89, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.