GCD of 584, 802, 84, 574 Calculator

Given Input numbers are 584, 802, 84, 574

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 584, 802, 84, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 802, 84, 574 is 2.

Therefore, GCD of numbers 584, 802, 84, 574 is 2

Given Input Data is 584, 802, 84, 574

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 802 is 2 x 401

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 574 is 2 x 7 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 802) = 234184

GCD(584, 802) = ( 584 x 802 ) / 234184

GCD(584, 802) = 468368 / 234184

GCD(584, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 584, 802, 84, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 563, 58, 766
• GCD of 502, 381, 35, 341
• GCD of 516, 309, 61, 884
• GCD of 420, 802, 92, 589
• GCD of 143, 888, 28, 570

1. What is the GCD of 584, 802, 84, 574?

GCD of 584, 802, 84, 574 is 2

2. Where do I get the detailed procedure to find GCD of 584, 802, 84, 574?

You can find a detailed procedure to find GCD of 584, 802, 84, 574 on our page.

3. How to find GCD of 584, 802, 84, 574 on a calculator?

You can find the GCD of 584, 802, 84, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.