GCD of 977, 728, 84, 404 Calculator

Given Input numbers are 977, 728, 84, 404

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

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

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 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 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 977, 728, 84, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 977, 728, 84, 404 is 1.

Therefore, GCD of numbers 977, 728, 84, 404 is 1

Given Input Data is 977, 728, 84, 404

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

Prime Factorization of 977 is 977

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

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

Prime Factorization of 404 is 2 x 2 x 101

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(977, 728) = 711256

GCD(977, 728) = ( 977 x 728 ) / 711256

GCD(977, 728) = 711256 / 711256

GCD(977, 728) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 977, 728, 84, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 547, 69, 536
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• GCD of 632, 944, 35, 492
• GCD of 531, 295, 44, 569
• GCD of 984, 559, 33, 205

1. What is the GCD of 977, 728, 84, 404?

GCD of 977, 728, 84, 404 is 1

2. Where do I get the detailed procedure to find GCD of 977, 728, 84, 404?

You can find a detailed procedure to find GCD of 977, 728, 84, 404 on our page.

3. How to find GCD of 977, 728, 84, 404 on a calculator?

You can find the GCD of 977, 728, 84, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.