GCD of 178, 809, 45, 649 Calculator

Given Input numbers are 178, 809, 45, 649

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 178, 809, 45, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 809, 45, 649 is 1.

Therefore, GCD of numbers 178, 809, 45, 649 is 1

Given Input Data is 178, 809, 45, 649

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 809 is 809

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 649 is 11 x 59

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(178, 809) = 144002

GCD(178, 809) = ( 178 x 809 ) / 144002

GCD(178, 809) = 144002 / 144002

GCD(178, 809) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 178, 809, 45, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 818, 13, 298
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• GCD of 105, 958, 55, 682
• GCD of 673, 863, 65, 999

1. What is the GCD of 178, 809, 45, 649?

GCD of 178, 809, 45, 649 is 1

2. Where do I get the detailed procedure to find GCD of 178, 809, 45, 649?

You can find a detailed procedure to find GCD of 178, 809, 45, 649 on our page.

3. How to find GCD of 178, 809, 45, 649 on a calculator?

You can find the GCD of 178, 809, 45, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.