GCD of 865, 320, 254, 562 Calculator

Given Input numbers are 865, 320, 254, 562

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

Divisors of 865

List of positive integer divisors of 865 that divides 865 without a remainder.

1, 5, 173, 865

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 254

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

1, 2, 127, 254

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 865, 320, 254, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 865, 320, 254, 562 is 1.

Therefore, GCD of numbers 865, 320, 254, 562 is 1

Given Input Data is 865, 320, 254, 562

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

Prime Factorization of 865 is 5 x 173

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 254 is 2 x 127

Prime Factorization of 562 is 2 x 281

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(865, 320) = 55360

GCD(865, 320) = ( 865 x 320 ) / 55360

GCD(865, 320) = 276800 / 55360

GCD(865, 320) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 254

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

LCM(5, 254) = 1270

GCD(5, 254) = ( 5 x 254 ) / 1270

GCD(5, 254) = 1270 / 1270

GCD(5, 254) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 562

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

LCM(1, 562) = 562

GCD(1, 562) = ( 1 x 562 ) / 562

GCD(1, 562) = 562 / 562

GCD(1, 562) = 1

GCD of 865, 320, 254, 562 is 1

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1. What is the GCD of 865, 320, 254, 562?

GCD of 865, 320, 254, 562 is 1

2. Where do I get the detailed procedure to find GCD of 865, 320, 254, 562?

You can find a detailed procedure to find GCD of 865, 320, 254, 562 on our page.

3. How to find GCD of 865, 320, 254, 562 on a calculator?

You can find the GCD of 865, 320, 254, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.