GCD of 643, 254, 734, 864 Calculator

Given Input numbers are 643, 254, 734, 864

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

Divisors of 643

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

1, 643

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 643, 254, 734, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 254, 734, 864 is 1.

Therefore, GCD of numbers 643, 254, 734, 864 is 1

Given Input Data is 643, 254, 734, 864

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

Prime Factorization of 643 is 643

Prime Factorization of 254 is 2 x 127

Prime Factorization of 734 is 2 x 367

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(643, 254) = 163322

GCD(643, 254) = ( 643 x 254 ) / 163322

GCD(643, 254) = 163322 / 163322

GCD(643, 254) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 643, 254, 734, 864 is 1

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1. What is the GCD of 643, 254, 734, 864?

GCD of 643, 254, 734, 864 is 1

2. Where do I get the detailed procedure to find GCD of 643, 254, 734, 864?

You can find a detailed procedure to find GCD of 643, 254, 734, 864 on our page.

3. How to find GCD of 643, 254, 734, 864 on a calculator?

You can find the GCD of 643, 254, 734, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.