GCD of 123, 944, 20, 600 Calculator

Given Input numbers are 123, 944, 20, 600

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

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 123, 944, 20, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 944, 20, 600 is 1.

Therefore, GCD of numbers 123, 944, 20, 600 is 1

Given Input Data is 123, 944, 20, 600

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

Prime Factorization of 123 is 3 x 41

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

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(123, 944) = 116112

GCD(123, 944) = ( 123 x 944 ) / 116112

GCD(123, 944) = 116112 / 116112

GCD(123, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 123, 944, 20, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 710, 566, 81, 500
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• GCD of 930, 569, 40, 277
• GCD of 153, 195, 36, 582

1. What is the GCD of 123, 944, 20, 600?

GCD of 123, 944, 20, 600 is 1

2. Where do I get the detailed procedure to find GCD of 123, 944, 20, 600?

You can find a detailed procedure to find GCD of 123, 944, 20, 600 on our page.

3. How to find GCD of 123, 944, 20, 600 on a calculator?

You can find the GCD of 123, 944, 20, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.