GCD of 440, 654, 14, 533 Calculator

Given Input numbers are 440, 654, 14, 533

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 440, 654, 14, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 654, 14, 533 is 1.

Therefore, GCD of numbers 440, 654, 14, 533 is 1

Given Input Data is 440, 654, 14, 533

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 654 is 2 x 3 x 109

Prime Factorization of 14 is 2 x 7

Prime Factorization of 533 is 13 x 41

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, 654) = 143880

GCD(440, 654) = ( 440 x 654 ) / 143880

GCD(440, 654) = 287760 / 143880

GCD(440, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 440, 654, 14, 533 is 1

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• GCD of 493, 283, 85, 595
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• GCD of 709, 832, 44, 850
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• GCD of 611, 940, 69, 814

1. What is the GCD of 440, 654, 14, 533?

GCD of 440, 654, 14, 533 is 1

2. Where do I get the detailed procedure to find GCD of 440, 654, 14, 533?

You can find a detailed procedure to find GCD of 440, 654, 14, 533 on our page.

3. How to find GCD of 440, 654, 14, 533 on a calculator?

You can find the GCD of 440, 654, 14, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.