GCD of 440, 564, 275, 421 Calculator

Given Input numbers are 440, 564, 275, 421

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Greatest Common Divisior

We found the divisors of 440, 564, 275, 421 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 564, 275, 421 is 1.

Therefore, GCD of numbers 440, 564, 275, 421 is 1

Given Input Data is 440, 564, 275, 421

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 421 is 421

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, 564) = 62040

GCD(440, 564) = ( 440 x 564 ) / 62040

GCD(440, 564) = 248160 / 62040

GCD(440, 564) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 275

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

LCM(4, 275) = 1100

GCD(4, 275) = ( 4 x 275 ) / 1100

GCD(4, 275) = 1100 / 1100

GCD(4, 275) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 421

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

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

GCD(1, 421) = 421 / 421

GCD(1, 421) = 1

GCD of 440, 564, 275, 421 is 1

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• GCD of 379, 825, 914, 944
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• GCD of 768, 650, 913, 959

1. What is the GCD of 440, 564, 275, 421?

GCD of 440, 564, 275, 421 is 1

2. Where do I get the detailed procedure to find GCD of 440, 564, 275, 421?

You can find a detailed procedure to find GCD of 440, 564, 275, 421 on our page.

3. How to find GCD of 440, 564, 275, 421 on a calculator?

You can find the GCD of 440, 564, 275, 421 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.