GCD of 921, 598, 74, 384 Calculator

Given Input numbers are 921, 598, 74, 384

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

Divisors of 921

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

1, 3, 307, 921

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 74

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

1, 2, 37, 74

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Greatest Common Divisior

We found the divisors of 921, 598, 74, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 598, 74, 384 is 1.

Therefore, GCD of numbers 921, 598, 74, 384 is 1

Given Input Data is 921, 598, 74, 384

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(921, 598) = 550758

GCD(921, 598) = ( 921 x 598 ) / 550758

GCD(921, 598) = 550758 / 550758

GCD(921, 598) = 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 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 921, 598, 74, 384 is 1

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• GCD of 783, 483, 87, 891
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1. What is the GCD of 921, 598, 74, 384?

GCD of 921, 598, 74, 384 is 1

2. Where do I get the detailed procedure to find GCD of 921, 598, 74, 384?

You can find a detailed procedure to find GCD of 921, 598, 74, 384 on our page.

3. How to find GCD of 921, 598, 74, 384 on a calculator?

You can find the GCD of 921, 598, 74, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.