GCD of 84, 889, 971, 728 Calculator

Given Input numbers are 84, 889, 971, 728

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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

Greatest Common Divisior

We found the divisors of 84, 889, 971, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 889, 971, 728 is 1.

Therefore, GCD of numbers 84, 889, 971, 728 is 1

Given Input Data is 84, 889, 971, 728

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 889 is 7 x 127

Prime Factorization of 971 is 971

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

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(84, 889) = 10668

GCD(84, 889) = ( 84 x 889 ) / 10668

GCD(84, 889) = 74676 / 10668

GCD(84, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 971

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

LCM(7, 971) = 6797

GCD(7, 971) = ( 7 x 971 ) / 6797

GCD(7, 971) = 6797 / 6797

GCD(7, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 84, 889, 971, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 179, 743, 683
• GCD of 62, 956, 181, 872
• GCD of 10, 964, 387, 291
• GCD of 37, 492, 886, 550
• GCD of 21, 205, 132, 415

1. What is the GCD of 84, 889, 971, 728?

GCD of 84, 889, 971, 728 is 1

2. Where do I get the detailed procedure to find GCD of 84, 889, 971, 728?

You can find a detailed procedure to find GCD of 84, 889, 971, 728 on our page.

3. How to find GCD of 84, 889, 971, 728 on a calculator?

You can find the GCD of 84, 889, 971, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.