GCD of 983, 112, 95, 698 Calculator

Given Input numbers are 983, 112, 95, 698

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 983, 112, 95, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 112, 95, 698 is 1.

Therefore, GCD of numbers 983, 112, 95, 698 is 1

Given Input Data is 983, 112, 95, 698

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

Prime Factorization of 983 is 983

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 95 is 5 x 19

Prime Factorization of 698 is 2 x 349

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(983, 112) = 110096

GCD(983, 112) = ( 983 x 112 ) / 110096

GCD(983, 112) = 110096 / 110096

GCD(983, 112) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 983, 112, 95, 698 is 1

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• GCD of 725, 818, 33, 819
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1. What is the GCD of 983, 112, 95, 698?

GCD of 983, 112, 95, 698 is 1

2. Where do I get the detailed procedure to find GCD of 983, 112, 95, 698?

You can find a detailed procedure to find GCD of 983, 112, 95, 698 on our page.

3. How to find GCD of 983, 112, 95, 698 on a calculator?

You can find the GCD of 983, 112, 95, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.