GCD of 828, 368, 64, 496 Calculator

Given Input numbers are 828, 368, 64, 496

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 828, 368, 64, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 368, 64, 496 is 4.

Therefore, GCD of numbers 828, 368, 64, 496 is 4

Given Input Data is 828, 368, 64, 496

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(828, 368) = 3312

GCD(828, 368) = ( 828 x 368 ) / 3312

GCD(828, 368) = 304704 / 3312

GCD(828, 368) = 92

Step2:

Here we consider the GCD from the above i.e. 92 as first number and the next as 64

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

LCM(92, 64) = 1472

GCD(92, 64) = ( 92 x 64 ) / 1472

GCD(92, 64) = 5888 / 1472

GCD(92, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 496

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

LCM(4, 496) = 496

GCD(4, 496) = ( 4 x 496 ) / 496

GCD(4, 496) = 1984 / 496

GCD(4, 496) = 4

GCD of 828, 368, 64, 496 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 120, 41, 726
• GCD of 843, 934, 14, 964
• GCD of 419, 170, 59, 838
• GCD of 678, 438, 18, 364
• GCD of 196, 641, 21, 129

1. What is the GCD of 828, 368, 64, 496?

GCD of 828, 368, 64, 496 is 4

2. Where do I get the detailed procedure to find GCD of 828, 368, 64, 496?

You can find a detailed procedure to find GCD of 828, 368, 64, 496 on our page.

3. How to find GCD of 828, 368, 64, 496 on a calculator?

You can find the GCD of 828, 368, 64, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.