GCD of 456, 208, 364 Calculator

Given Input numbers are 456, 208, 364

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

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

Greatest Common Divisior

We found the divisors of 456, 208, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 208, 364 is 4.

Therefore, GCD of numbers 456, 208, 364 is 4

Given Input Data is 456, 208, 364

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

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

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(456, 208) = 11856

GCD(456, 208) = ( 456 x 208 ) / 11856

GCD(456, 208) = 94848 / 11856

GCD(456, 208) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 364

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

LCM(8, 364) = 728

GCD(8, 364) = ( 8 x 364 ) / 728

GCD(8, 364) = 2912 / 728

GCD(8, 364) = 4

GCD of 456, 208, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 108, 400
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• GCD of 839, 500, 142
• GCD of 322, 336, 899

1. What is the GCD of 456, 208, 364?

GCD of 456, 208, 364 is 4

2. Where do I get the detailed procedure to find GCD of 456, 208, 364?

You can find a detailed procedure to find GCD of 456, 208, 364 on our page.

3. How to find GCD of 456, 208, 364 on a calculator?

You can find the GCD of 456, 208, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.