GCD of 108, 262, 922, 211 Calculator

Given Input numbers are 108, 262, 922, 211

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 108, 262, 922, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 262, 922, 211 is 1.

Therefore, GCD of numbers 108, 262, 922, 211 is 1

Given Input Data is 108, 262, 922, 211

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 262 is 2 x 131

Prime Factorization of 922 is 2 x 461

Prime Factorization of 211 is 211

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(108, 262) = 14148

GCD(108, 262) = ( 108 x 262 ) / 14148

GCD(108, 262) = 28296 / 14148

GCD(108, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 922

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

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

GCD(2, 922) = 1844 / 922

GCD(2, 922) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

GCD of 108, 262, 922, 211 is 1

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• GCD of 826, 585, 145, 213
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1. What is the GCD of 108, 262, 922, 211?

GCD of 108, 262, 922, 211 is 1

2. Where do I get the detailed procedure to find GCD of 108, 262, 922, 211?

You can find a detailed procedure to find GCD of 108, 262, 922, 211 on our page.

3. How to find GCD of 108, 262, 922, 211 on a calculator?

You can find the GCD of 108, 262, 922, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.