GCD of 364, 636, 296 Calculator

Given Input numbers are 364, 636, 296

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 364, 636, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 636, 296 is 4.

Therefore, GCD of numbers 364, 636, 296 is 4

Given Input Data is 364, 636, 296

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(364, 636) = 57876

GCD(364, 636) = ( 364 x 636 ) / 57876

GCD(364, 636) = 231504 / 57876

GCD(364, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 296

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

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

GCD(4, 296) = 1184 / 296

GCD(4, 296) = 4

GCD of 364, 636, 296 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 929, 470
• GCD of 816, 127, 824
• GCD of 410, 946, 351
• GCD of 328, 458, 954
• GCD of 816, 969, 975

1. What is the GCD of 364, 636, 296?

GCD of 364, 636, 296 is 4

2. Where do I get the detailed procedure to find GCD of 364, 636, 296?

You can find a detailed procedure to find GCD of 364, 636, 296 on our page.

3. How to find GCD of 364, 636, 296 on a calculator?

You can find the GCD of 364, 636, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.