GCD of 105, 883, 989, 368 Calculator

Given Input numbers are 105, 883, 989, 368

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 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 105, 883, 989, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 883, 989, 368 is 1.

Therefore, GCD of numbers 105, 883, 989, 368 is 1

Given Input Data is 105, 883, 989, 368

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 883 is 883

Prime Factorization of 989 is 23 x 43

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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, 883) = 92715

GCD(105, 883) = ( 105 x 883 ) / 92715

GCD(105, 883) = 92715 / 92715

GCD(105, 883) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

GCD of 105, 883, 989, 368 is 1

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1. What is the GCD of 105, 883, 989, 368?

GCD of 105, 883, 989, 368 is 1

2. Where do I get the detailed procedure to find GCD of 105, 883, 989, 368?

You can find a detailed procedure to find GCD of 105, 883, 989, 368 on our page.

3. How to find GCD of 105, 883, 989, 368 on a calculator?

You can find the GCD of 105, 883, 989, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.