GCD of 664, 952, 45, 189 Calculator

Given Input numbers are 664, 952, 45, 189

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 664, 952, 45, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 952, 45, 189 is 1.

Therefore, GCD of numbers 664, 952, 45, 189 is 1

Given Input Data is 664, 952, 45, 189

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(664, 952) = 79016

GCD(664, 952) = ( 664 x 952 ) / 79016

GCD(664, 952) = 632128 / 79016

GCD(664, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 45

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

LCM(8, 45) = 360

GCD(8, 45) = ( 8 x 45 ) / 360

GCD(8, 45) = 360 / 360

GCD(8, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 664, 952, 45, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 924, 49, 545
• GCD of 939, 355, 88, 152
• GCD of 317, 580, 65, 548
• GCD of 337, 149, 21, 370
• GCD of 727, 113, 27, 718

1. What is the GCD of 664, 952, 45, 189?

GCD of 664, 952, 45, 189 is 1

2. Where do I get the detailed procedure to find GCD of 664, 952, 45, 189?

You can find a detailed procedure to find GCD of 664, 952, 45, 189 on our page.

3. How to find GCD of 664, 952, 45, 189 on a calculator?

You can find the GCD of 664, 952, 45, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.