GCD of 866, 864, 71, 972 Calculator

Given Input numbers are 866, 864, 71, 972

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 866, 864, 71, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 864, 71, 972 is 1.

Therefore, GCD of numbers 866, 864, 71, 972 is 1

Given Input Data is 866, 864, 71, 972

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

Prime Factorization of 866 is 2 x 433

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

Prime Factorization of 71 is 71

Prime Factorization of 972 is 2 x 2 x 3 x 3 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(866, 864) = 374112

GCD(866, 864) = ( 866 x 864 ) / 374112

GCD(866, 864) = 748224 / 374112

GCD(866, 864) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 866, 864, 71, 972 is 1

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• GCD of 788, 910, 26, 220

1. What is the GCD of 866, 864, 71, 972?

GCD of 866, 864, 71, 972 is 1

2. Where do I get the detailed procedure to find GCD of 866, 864, 71, 972?

You can find a detailed procedure to find GCD of 866, 864, 71, 972 on our page.

3. How to find GCD of 866, 864, 71, 972 on a calculator?

You can find the GCD of 866, 864, 71, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.