GCD of 230, 921, 74, 100 Calculator

Given Input numbers are 230, 921, 74, 100

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 230, 921, 74, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 921, 74, 100 is 1.

Therefore, GCD of numbers 230, 921, 74, 100 is 1

Given Input Data is 230, 921, 74, 100

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 921 is 3 x 307

Prime Factorization of 74 is 2 x 37

Prime Factorization of 100 is 2 x 2 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(230, 921) = 211830

GCD(230, 921) = ( 230 x 921 ) / 211830

GCD(230, 921) = 211830 / 211830

GCD(230, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 230, 921, 74, 100 is 1

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• GCD of 624, 865, 10, 182
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1. What is the GCD of 230, 921, 74, 100?

GCD of 230, 921, 74, 100 is 1

2. Where do I get the detailed procedure to find GCD of 230, 921, 74, 100?

You can find a detailed procedure to find GCD of 230, 921, 74, 100 on our page.

3. How to find GCD of 230, 921, 74, 100 on a calculator?

You can find the GCD of 230, 921, 74, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.