GCD of 86, 534, 450, 396 Calculator

Given Input numbers are 86, 534, 450, 396

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

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

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 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 86, 534, 450, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 534, 450, 396 is 2.

Therefore, GCD of numbers 86, 534, 450, 396 is 2

Given Input Data is 86, 534, 450, 396

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

Prime Factorization of 86 is 2 x 43

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(86, 534) = 22962

GCD(86, 534) = ( 86 x 534 ) / 22962

GCD(86, 534) = 45924 / 22962

GCD(86, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 450

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

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

GCD(2, 450) = 900 / 450

GCD(2, 450) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 86, 534, 450, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 666, 210, 324
• GCD of 18, 233, 649, 464
• GCD of 28, 949, 999, 950
• GCD of 91, 924, 219, 455
• GCD of 17, 279, 822, 486

1. What is the GCD of 86, 534, 450, 396?

GCD of 86, 534, 450, 396 is 2

2. Where do I get the detailed procedure to find GCD of 86, 534, 450, 396?

You can find a detailed procedure to find GCD of 86, 534, 450, 396 on our page.

3. How to find GCD of 86, 534, 450, 396 on a calculator?

You can find the GCD of 86, 534, 450, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.