GCD of 106, 888, 202, 941 Calculator

Given Input numbers are 106, 888, 202, 941

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 106, 888, 202, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 888, 202, 941 is 1.

Therefore, GCD of numbers 106, 888, 202, 941 is 1

Given Input Data is 106, 888, 202, 941

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 202 is 2 x 101

Prime Factorization of 941 is 941

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(106, 888) = 47064

GCD(106, 888) = ( 106 x 888 ) / 47064

GCD(106, 888) = 94128 / 47064

GCD(106, 888) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 202

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

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

GCD(2, 202) = 404 / 202

GCD(2, 202) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 941

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

LCM(2, 941) = 1882

GCD(2, 941) = ( 2 x 941 ) / 1882

GCD(2, 941) = 1882 / 1882

GCD(2, 941) = 1

GCD of 106, 888, 202, 941 is 1

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1. What is the GCD of 106, 888, 202, 941?

GCD of 106, 888, 202, 941 is 1

2. Where do I get the detailed procedure to find GCD of 106, 888, 202, 941?

You can find a detailed procedure to find GCD of 106, 888, 202, 941 on our page.

3. How to find GCD of 106, 888, 202, 941 on a calculator?

You can find the GCD of 106, 888, 202, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.