GCD of 624, 440, 641, 997 Calculator

Given Input numbers are 624, 440, 641, 997

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 624, 440, 641, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 440, 641, 997 is 1.

Therefore, GCD of numbers 624, 440, 641, 997 is 1

Given Input Data is 624, 440, 641, 997

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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

Prime Factorization of 641 is 641

Prime Factorization of 997 is 997

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(624, 440) = 34320

GCD(624, 440) = ( 624 x 440 ) / 34320

GCD(624, 440) = 274560 / 34320

GCD(624, 440) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 641

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

LCM(8, 641) = 5128

GCD(8, 641) = ( 8 x 641 ) / 5128

GCD(8, 641) = 5128 / 5128

GCD(8, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 624, 440, 641, 997 is 1

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1. What is the GCD of 624, 440, 641, 997?

GCD of 624, 440, 641, 997 is 1

2. Where do I get the detailed procedure to find GCD of 624, 440, 641, 997?

You can find a detailed procedure to find GCD of 624, 440, 641, 997 on our page.

3. How to find GCD of 624, 440, 641, 997 on a calculator?

You can find the GCD of 624, 440, 641, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.