GCD of 251, 864, 142, 851 Calculator

Given Input numbers are 251, 864, 142, 851

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 251, 864, 142, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 864, 142, 851 is 1.

Therefore, GCD of numbers 251, 864, 142, 851 is 1

Given Input Data is 251, 864, 142, 851

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

Prime Factorization of 251 is 251

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 851 is 23 x 37

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(251, 864) = 216864

GCD(251, 864) = ( 251 x 864 ) / 216864

GCD(251, 864) = 216864 / 216864

GCD(251, 864) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 251, 864, 142, 851 is 1

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1. What is the GCD of 251, 864, 142, 851?

GCD of 251, 864, 142, 851 is 1

2. Where do I get the detailed procedure to find GCD of 251, 864, 142, 851?

You can find a detailed procedure to find GCD of 251, 864, 142, 851 on our page.

3. How to find GCD of 251, 864, 142, 851 on a calculator?

You can find the GCD of 251, 864, 142, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.