GCD of 102, 563, 923, 118 Calculator

Given Input numbers are 102, 563, 923, 118

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 102, 563, 923, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 563, 923, 118 is 1.

Therefore, GCD of numbers 102, 563, 923, 118 is 1

Given Input Data is 102, 563, 923, 118

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 563 is 563

Prime Factorization of 923 is 13 x 71

Prime Factorization of 118 is 2 x 59

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(102, 563) = 57426

GCD(102, 563) = ( 102 x 563 ) / 57426

GCD(102, 563) = 57426 / 57426

GCD(102, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 923

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

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

GCD(1, 923) = 923 / 923

GCD(1, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 102, 563, 923, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 939, 424, 352
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• GCD of 719, 736, 417, 104

1. What is the GCD of 102, 563, 923, 118?

GCD of 102, 563, 923, 118 is 1

2. Where do I get the detailed procedure to find GCD of 102, 563, 923, 118?

You can find a detailed procedure to find GCD of 102, 563, 923, 118 on our page.

3. How to find GCD of 102, 563, 923, 118 on a calculator?

You can find the GCD of 102, 563, 923, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.