GCD of 699, 491, 728, 840 Calculator

Given Input numbers are 699, 491, 728, 840

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

Divisors of 699

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

1, 3, 233, 699

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 699, 491, 728, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 491, 728, 840 is 1.

Therefore, GCD of numbers 699, 491, 728, 840 is 1

Given Input Data is 699, 491, 728, 840

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 491 is 491

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(699, 491) = 343209

GCD(699, 491) = ( 699 x 491 ) / 343209

GCD(699, 491) = 343209 / 343209

GCD(699, 491) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 699, 491, 728, 840 is 1

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1. What is the GCD of 699, 491, 728, 840?

GCD of 699, 491, 728, 840 is 1

2. Where do I get the detailed procedure to find GCD of 699, 491, 728, 840?

You can find a detailed procedure to find GCD of 699, 491, 728, 840 on our page.

3. How to find GCD of 699, 491, 728, 840 on a calculator?

You can find the GCD of 699, 491, 728, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.