GCD of 974, 467, 699, 728 Calculator

Given Input numbers are 974, 467, 699, 728

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

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 974, 467, 699, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 467, 699, 728 is 1.

Therefore, GCD of numbers 974, 467, 699, 728 is 1

Given Input Data is 974, 467, 699, 728

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 467 is 467

Prime Factorization of 699 is 3 x 233

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(974, 467) = 454858

GCD(974, 467) = ( 974 x 467 ) / 454858

GCD(974, 467) = 454858 / 454858

GCD(974, 467) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 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 974, 467, 699, 728 is 1

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1. What is the GCD of 974, 467, 699, 728?

GCD of 974, 467, 699, 728 is 1

2. Where do I get the detailed procedure to find GCD of 974, 467, 699, 728?

You can find a detailed procedure to find GCD of 974, 467, 699, 728 on our page.

3. How to find GCD of 974, 467, 699, 728 on a calculator?

You can find the GCD of 974, 467, 699, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.