GCD of 105, 908, 943, 101 Calculator

Given Input numbers are 105, 908, 943, 101

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 105, 908, 943, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 908, 943, 101 is 1.

Therefore, GCD of numbers 105, 908, 943, 101 is 1

Given Input Data is 105, 908, 943, 101

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 943 is 23 x 41

Prime Factorization of 101 is 101

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(105, 908) = 95340

GCD(105, 908) = ( 105 x 908 ) / 95340

GCD(105, 908) = 95340 / 95340

GCD(105, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 943

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

LCM(1, 943) = 943

GCD(1, 943) = ( 1 x 943 ) / 943

GCD(1, 943) = 943 / 943

GCD(1, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 101

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

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

GCD(1, 101) = 101 / 101

GCD(1, 101) = 1

GCD of 105, 908, 943, 101 is 1

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1. What is the GCD of 105, 908, 943, 101?

GCD of 105, 908, 943, 101 is 1

2. Where do I get the detailed procedure to find GCD of 105, 908, 943, 101?

You can find a detailed procedure to find GCD of 105, 908, 943, 101 on our page.

3. How to find GCD of 105, 908, 943, 101 on a calculator?

You can find the GCD of 105, 908, 943, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.