GCD of 534, 380, 468 Calculator

Given Input numbers are 534, 380, 468

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 534, 380, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 534, 380, 468 is 2.

Therefore, GCD of numbers 534, 380, 468 is 2

Given Input Data is 534, 380, 468

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 380 is 2 x 2 x 5 x 19

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(534, 380) = 101460

GCD(534, 380) = ( 534 x 380 ) / 101460

GCD(534, 380) = 202920 / 101460

GCD(534, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 534, 380, 468 is 2

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1. What is the GCD of 534, 380, 468?

GCD of 534, 380, 468 is 2

2. Where do I get the detailed procedure to find GCD of 534, 380, 468?

You can find a detailed procedure to find GCD of 534, 380, 468 on our page.

3. How to find GCD of 534, 380, 468 on a calculator?

You can find the GCD of 534, 380, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.