GCD of 440, 343, 643, 966 Calculator

Given Input numbers are 440, 343, 643, 966

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 440, 343, 643, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 343, 643, 966 is 1.

Therefore, GCD of numbers 440, 343, 643, 966 is 1

Given Input Data is 440, 343, 643, 966

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 643 is 643

Prime Factorization of 966 is 2 x 3 x 7 x 23

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 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 440, 343, 643, 966 is 1

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• GCD of 570, 320, 365, 797
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• GCD of 249, 454, 141, 516

1. What is the GCD of 440, 343, 643, 966?

GCD of 440, 343, 643, 966 is 1

2. Where do I get the detailed procedure to find GCD of 440, 343, 643, 966?

You can find a detailed procedure to find GCD of 440, 343, 643, 966 on our page.

3. How to find GCD of 440, 343, 643, 966 on a calculator?

You can find the GCD of 440, 343, 643, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.