GCD of 156, 408, 465, 528 Calculator

Given Input numbers are 156, 408, 465, 528

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 156, 408, 465, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 408, 465, 528 is 3.

Therefore, GCD of numbers 156, 408, 465, 528 is 3

Given Input Data is 156, 408, 465, 528

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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(156, 408) = 5304

GCD(156, 408) = ( 156 x 408 ) / 5304

GCD(156, 408) = 63648 / 5304

GCD(156, 408) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 465

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

LCM(12, 465) = 1860

GCD(12, 465) = ( 12 x 465 ) / 1860

GCD(12, 465) = 5580 / 1860

GCD(12, 465) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 528

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

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

GCD(3, 528) = 1584 / 528

GCD(3, 528) = 3

GCD of 156, 408, 465, 528 is 3

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1. What is the GCD of 156, 408, 465, 528?

GCD of 156, 408, 465, 528 is 3

2. Where do I get the detailed procedure to find GCD of 156, 408, 465, 528?

You can find a detailed procedure to find GCD of 156, 408, 465, 528 on our page.

3. How to find GCD of 156, 408, 465, 528 on a calculator?

You can find the GCD of 156, 408, 465, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.