GCD of 10, 542, 121, 221 Calculator

Given Input numbers are 10, 542, 121, 221

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 121

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

1, 11, 121

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 10, 542, 121, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 542, 121, 221 is 1.

Therefore, GCD of numbers 10, 542, 121, 221 is 1

Given Input Data is 10, 542, 121, 221

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 542 is 2 x 271

Prime Factorization of 121 is 11 x 11

Prime Factorization of 221 is 13 x 17

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, 542) = 2710

GCD(10, 542) = ( 10 x 542 ) / 2710

GCD(10, 542) = 5420 / 2710

GCD(10, 542) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1

GCD of 10, 542, 121, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 909, 170, 645
• GCD of 81, 257, 544, 183
• GCD of 28, 467, 895, 627
• GCD of 93, 915, 545, 220
• GCD of 94, 233, 326, 268

1. What is the GCD of 10, 542, 121, 221?

GCD of 10, 542, 121, 221 is 1

2. Where do I get the detailed procedure to find GCD of 10, 542, 121, 221?

You can find a detailed procedure to find GCD of 10, 542, 121, 221 on our page.

3. How to find GCD of 10, 542, 121, 221 on a calculator?

You can find the GCD of 10, 542, 121, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.