GCD of 280, 445, 207, 164 Calculator

Given Input numbers are 280, 445, 207, 164

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 280, 445, 207, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 445, 207, 164 is 1.

Therefore, GCD of numbers 280, 445, 207, 164 is 1

Given Input Data is 280, 445, 207, 164

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 445 is 5 x 89

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 164 is 2 x 2 x 41

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(280, 445) = 24920

GCD(280, 445) = ( 280 x 445 ) / 24920

GCD(280, 445) = 124600 / 24920

GCD(280, 445) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 207

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

LCM(5, 207) = 1035

GCD(5, 207) = ( 5 x 207 ) / 1035

GCD(5, 207) = 1035 / 1035

GCD(5, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 280, 445, 207, 164 is 1

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1. What is the GCD of 280, 445, 207, 164?

GCD of 280, 445, 207, 164 is 1

2. Where do I get the detailed procedure to find GCD of 280, 445, 207, 164?

You can find a detailed procedure to find GCD of 280, 445, 207, 164 on our page.

3. How to find GCD of 280, 445, 207, 164 on a calculator?

You can find the GCD of 280, 445, 207, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.