GCD of 440, 343, 46, 433 Calculator

Given Input numbers are 440, 343, 46, 433

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 440, 343, 46, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 343, 46, 433 is 1.

Therefore, GCD of numbers 440, 343, 46, 433 is 1

Given Input Data is 440, 343, 46, 433

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 46 is 2 x 23

Prime Factorization of 433 is 433

The above numbers do not have any common prime factor. So GCD is 1

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(440, 343) = 150920

GCD(440, 343) = ( 440 x 343 ) / 150920

GCD(440, 343) = 150920 / 150920

GCD(440, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 46

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

LCM(1, 46) = 46

GCD(1, 46) = ( 1 x 46 ) / 46

GCD(1, 46) = 46 / 46

GCD(1, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 440, 343, 46, 433 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 302, 37, 130
• GCD of 851, 889, 28, 789
• GCD of 513, 326, 43, 396
• GCD of 901, 827, 40, 101
• GCD of 121, 806, 19, 610

1. What is the GCD of 440, 343, 46, 433?

GCD of 440, 343, 46, 433 is 1

2. Where do I get the detailed procedure to find GCD of 440, 343, 46, 433?

You can find a detailed procedure to find GCD of 440, 343, 46, 433 on our page.

3. How to find GCD of 440, 343, 46, 433 on a calculator?

You can find the GCD of 440, 343, 46, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.