GCD of 916, 569, 42, 123 Calculator

Given Input numbers are 916, 569, 42, 123

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 123

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

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 916, 569, 42, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 569, 42, 123 is 1.

Therefore, GCD of numbers 916, 569, 42, 123 is 1

Given Input Data is 916, 569, 42, 123

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 569 is 569

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 123 is 3 x 41

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(916, 569) = 521204

GCD(916, 569) = ( 916 x 569 ) / 521204

GCD(916, 569) = 521204 / 521204

GCD(916, 569) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 916, 569, 42, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 650, 34, 901
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• GCD of 931, 437, 16, 600
• GCD of 423, 956, 10, 551

1. What is the GCD of 916, 569, 42, 123?

GCD of 916, 569, 42, 123 is 1

2. Where do I get the detailed procedure to find GCD of 916, 569, 42, 123?

You can find a detailed procedure to find GCD of 916, 569, 42, 123 on our page.

3. How to find GCD of 916, 569, 42, 123 on a calculator?

You can find the GCD of 916, 569, 42, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.