GCD of 10, 248, 164, 121 Calculator

Given Input numbers are 10, 248, 164, 121

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 10, 248, 164, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 248, 164, 121 is 1.

Therefore, GCD of numbers 10, 248, 164, 121 is 1

Given Input Data is 10, 248, 164, 121

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 121 is 11 x 11

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(10, 248) = 1240

GCD(10, 248) = ( 10 x 248 ) / 1240

GCD(10, 248) = 2480 / 1240

GCD(10, 248) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 121

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

LCM(2, 121) = 242

GCD(2, 121) = ( 2 x 121 ) / 242

GCD(2, 121) = 242 / 242

GCD(2, 121) = 1

GCD of 10, 248, 164, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 348, 459, 225
• GCD of 94, 991, 720, 328
• GCD of 91, 416, 664, 496
• GCD of 96, 241, 987, 227
• GCD of 17, 390, 245, 806

1. What is the GCD of 10, 248, 164, 121?

GCD of 10, 248, 164, 121 is 1

2. Where do I get the detailed procedure to find GCD of 10, 248, 164, 121?

You can find a detailed procedure to find GCD of 10, 248, 164, 121 on our page.

3. How to find GCD of 10, 248, 164, 121 on a calculator?

You can find the GCD of 10, 248, 164, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.