GCD of 281, 149, 268, 164 Calculator

Given Input numbers are 281, 149, 268, 164

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

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 281, 149, 268, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 149, 268, 164 is 1.

Therefore, GCD of numbers 281, 149, 268, 164 is 1

Given Input Data is 281, 149, 268, 164

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

Prime Factorization of 281 is 281

Prime Factorization of 149 is 149

Prime Factorization of 268 is 2 x 2 x 67

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(281, 149) = 41869

GCD(281, 149) = ( 281 x 149 ) / 41869

GCD(281, 149) = 41869 / 41869

GCD(281, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 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 281, 149, 268, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 914, 235, 543
• GCD of 764, 558, 380, 846
• GCD of 117, 914, 621, 832
• GCD of 452, 959, 540, 962
• GCD of 233, 441, 815, 280

1. What is the GCD of 281, 149, 268, 164?

GCD of 281, 149, 268, 164 is 1

2. Where do I get the detailed procedure to find GCD of 281, 149, 268, 164?

You can find a detailed procedure to find GCD of 281, 149, 268, 164 on our page.

3. How to find GCD of 281, 149, 268, 164 on a calculator?

You can find the GCD of 281, 149, 268, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.