GCD of 36, 560, 128, 456 Calculator

Given Input numbers are 36, 560, 128, 456

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Greatest Common Divisior

We found the divisors of 36, 560, 128, 456 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 560, 128, 456 is 4.

Therefore, GCD of numbers 36, 560, 128, 456 is 4

Given Input Data is 36, 560, 128, 456

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(36, 560) = 5040

GCD(36, 560) = ( 36 x 560 ) / 5040

GCD(36, 560) = 20160 / 5040

GCD(36, 560) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 128

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

LCM(4, 128) = 128

GCD(4, 128) = ( 4 x 128 ) / 128

GCD(4, 128) = 512 / 128

GCD(4, 128) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 456

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

LCM(4, 456) = 456

GCD(4, 456) = ( 4 x 456 ) / 456

GCD(4, 456) = 1824 / 456

GCD(4, 456) = 4

GCD of 36, 560, 128, 456 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 134, 561, 372
• GCD of 11, 931, 385, 504
• GCD of 82, 344, 337, 728
• GCD of 15, 808, 377, 638
• GCD of 85, 251, 244, 523

1. What is the GCD of 36, 560, 128, 456?

GCD of 36, 560, 128, 456 is 4

2. Where do I get the detailed procedure to find GCD of 36, 560, 128, 456?

You can find a detailed procedure to find GCD of 36, 560, 128, 456 on our page.

3. How to find GCD of 36, 560, 128, 456 on a calculator?

You can find the GCD of 36, 560, 128, 456 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.