GCD of 534, 780, 21, 234 Calculator

Given Input numbers are 534, 780, 21, 234

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 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Greatest Common Divisior

We found the divisors of 534, 780, 21, 234 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 780, 21, 234 is 3.

Therefore, GCD of numbers 534, 780, 21, 234 is 3

Given Input Data is 534, 780, 21, 234

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 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 21 is 3 x 7

Prime Factorization of 234 is 2 x 3 x 3 x 13

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, 780) = 69420

GCD(534, 780) = ( 534 x 780 ) / 69420

GCD(534, 780) = 416520 / 69420

GCD(534, 780) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 21

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

LCM(6, 21) = 42

GCD(6, 21) = ( 6 x 21 ) / 42

GCD(6, 21) = 126 / 42

GCD(6, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 234

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

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

GCD(3, 234) = 702 / 234

GCD(3, 234) = 3

GCD of 534, 780, 21, 234 is 3

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• GCD of 251, 599, 66, 469
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1. What is the GCD of 534, 780, 21, 234?

GCD of 534, 780, 21, 234 is 3

2. Where do I get the detailed procedure to find GCD of 534, 780, 21, 234?

You can find a detailed procedure to find GCD of 534, 780, 21, 234 on our page.

3. How to find GCD of 534, 780, 21, 234 on a calculator?

You can find the GCD of 534, 780, 21, 234 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.