GCD of 456, 339, 705 Calculator

Given Input numbers are 456, 339, 705

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 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 456, 339, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 339, 705 is 3.

Therefore, GCD of numbers 456, 339, 705 is 3

Given Input Data is 456, 339, 705

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 339 is 3 x 113

Prime Factorization of 705 is 3 x 5 x 47

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(456, 339) = 51528

GCD(456, 339) = ( 456 x 339 ) / 51528

GCD(456, 339) = 154584 / 51528

GCD(456, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 705

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

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

GCD(3, 705) = 2115 / 705

GCD(3, 705) = 3

GCD of 456, 339, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 690, 721
• GCD of 236, 181, 819
• GCD of 773, 953, 655
• GCD of 643, 328, 347
• GCD of 275, 176, 643

1. What is the GCD of 456, 339, 705?

GCD of 456, 339, 705 is 3

2. Where do I get the detailed procedure to find GCD of 456, 339, 705?

You can find a detailed procedure to find GCD of 456, 339, 705 on our page.

3. How to find GCD of 456, 339, 705 on a calculator?

You can find the GCD of 456, 339, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.