GCD of 584, 385, 75, 821 Calculator

Given Input numbers are 584, 385, 75, 821

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 584, 385, 75, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 385, 75, 821 is 1.

Therefore, GCD of numbers 584, 385, 75, 821 is 1

Given Input Data is 584, 385, 75, 821

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 821 is 821

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(584, 385) = 224840

GCD(584, 385) = ( 584 x 385 ) / 224840

GCD(584, 385) = 224840 / 224840

GCD(584, 385) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 584, 385, 75, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 336, 38, 668
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• GCD of 108, 523, 71, 807
• GCD of 661, 859, 22, 784
• GCD of 342, 902, 29, 505

1. What is the GCD of 584, 385, 75, 821?

GCD of 584, 385, 75, 821 is 1

2. Where do I get the detailed procedure to find GCD of 584, 385, 75, 821?

You can find a detailed procedure to find GCD of 584, 385, 75, 821 on our page.

3. How to find GCD of 584, 385, 75, 821 on a calculator?

You can find the GCD of 584, 385, 75, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.