GCD of 534, 804, 213, 930 Calculator

Given Input numbers are 534, 804, 213, 930

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

Divisors of 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 534, 804, 213, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 804, 213, 930 is 3.

Therefore, GCD of numbers 534, 804, 213, 930 is 3

Given Input Data is 534, 804, 213, 930

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 213 is 3 x 71

Prime Factorization of 930 is 2 x 3 x 5 x 31

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(534, 804) = 71556

GCD(534, 804) = ( 534 x 804 ) / 71556

GCD(534, 804) = 429336 / 71556

GCD(534, 804) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 213

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

LCM(6, 213) = 426

GCD(6, 213) = ( 6 x 213 ) / 426

GCD(6, 213) = 1278 / 426

GCD(6, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 930

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

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

GCD(3, 930) = 2790 / 930

GCD(3, 930) = 3

GCD of 534, 804, 213, 930 is 3

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1. What is the GCD of 534, 804, 213, 930?

GCD of 534, 804, 213, 930 is 3

2. Where do I get the detailed procedure to find GCD of 534, 804, 213, 930?

You can find a detailed procedure to find GCD of 534, 804, 213, 930 on our page.

3. How to find GCD of 534, 804, 213, 930 on a calculator?

You can find the GCD of 534, 804, 213, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.