GCD of 28, 264, 745, 166 Calculator

Given Input numbers are 28, 264, 745, 166

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Greatest Common Divisior

We found the divisors of 28, 264, 745, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 264, 745, 166 is 1.

Therefore, GCD of numbers 28, 264, 745, 166 is 1

Given Input Data is 28, 264, 745, 166

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 745 is 5 x 149

Prime Factorization of 166 is 2 x 83

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(28, 264) = 1848

GCD(28, 264) = ( 28 x 264 ) / 1848

GCD(28, 264) = 7392 / 1848

GCD(28, 264) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 745

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

LCM(4, 745) = 2980

GCD(4, 745) = ( 4 x 745 ) / 2980

GCD(4, 745) = 2980 / 2980

GCD(4, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 166

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

LCM(1, 166) = 166

GCD(1, 166) = ( 1 x 166 ) / 166

GCD(1, 166) = 166 / 166

GCD(1, 166) = 1

GCD of 28, 264, 745, 166 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 156, 882, 767
• GCD of 19, 484, 218, 142
• GCD of 83, 839, 630, 954
• GCD of 42, 690, 288, 359
• GCD of 83, 160, 922, 332

1. What is the GCD of 28, 264, 745, 166?

GCD of 28, 264, 745, 166 is 1

2. Where do I get the detailed procedure to find GCD of 28, 264, 745, 166?

You can find a detailed procedure to find GCD of 28, 264, 745, 166 on our page.

3. How to find GCD of 28, 264, 745, 166 on a calculator?

You can find the GCD of 28, 264, 745, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.