GCD of 867, 975, 728, 278 Calculator

Given Input numbers are 867, 975, 728, 278

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 867, 975, 728, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 975, 728, 278 is 1.

Therefore, GCD of numbers 867, 975, 728, 278 is 1

Given Input Data is 867, 975, 728, 278

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 278 is 2 x 139

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(867, 975) = 281775

GCD(867, 975) = ( 867 x 975 ) / 281775

GCD(867, 975) = 845325 / 281775

GCD(867, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 728

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

LCM(3, 728) = 2184

GCD(3, 728) = ( 3 x 728 ) / 2184

GCD(3, 728) = 2184 / 2184

GCD(3, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 867, 975, 728, 278 is 1

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1. What is the GCD of 867, 975, 728, 278?

GCD of 867, 975, 728, 278 is 1

2. Where do I get the detailed procedure to find GCD of 867, 975, 728, 278?

You can find a detailed procedure to find GCD of 867, 975, 728, 278 on our page.

3. How to find GCD of 867, 975, 728, 278 on a calculator?

You can find the GCD of 867, 975, 728, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.