GCD of 301, 164, 31, 117 Calculator

Given Input numbers are 301, 164, 31, 117

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 301, 164, 31, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 164, 31, 117 is 1.

Therefore, GCD of numbers 301, 164, 31, 117 is 1

Given Input Data is 301, 164, 31, 117

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 31 is 31

Prime Factorization of 117 is 3 x 3 x 13

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(301, 164) = 49364

GCD(301, 164) = ( 301 x 164 ) / 49364

GCD(301, 164) = 49364 / 49364

GCD(301, 164) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 301, 164, 31, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 285, 85, 203
• GCD of 746, 603, 65, 389
• GCD of 471, 128, 79, 276
• GCD of 593, 173, 46, 135
• GCD of 166, 771, 62, 947

1. What is the GCD of 301, 164, 31, 117?

GCD of 301, 164, 31, 117 is 1

2. Where do I get the detailed procedure to find GCD of 301, 164, 31, 117?

You can find a detailed procedure to find GCD of 301, 164, 31, 117 on our page.

3. How to find GCD of 301, 164, 31, 117 on a calculator?

You can find the GCD of 301, 164, 31, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.