GCD of 359, 783, 993, 788 Calculator

Given Input numbers are 359, 783, 993, 788

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 359, 783, 993, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 783, 993, 788 is 1.

Therefore, GCD of numbers 359, 783, 993, 788 is 1

Given Input Data is 359, 783, 993, 788

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

Prime Factorization of 359 is 359

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 993 is 3 x 331

Prime Factorization of 788 is 2 x 2 x 197

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(359, 783) = 281097

GCD(359, 783) = ( 359 x 783 ) / 281097

GCD(359, 783) = 281097 / 281097

GCD(359, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 359, 783, 993, 788 is 1

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1. What is the GCD of 359, 783, 993, 788?

GCD of 359, 783, 993, 788 is 1

2. Where do I get the detailed procedure to find GCD of 359, 783, 993, 788?

You can find a detailed procedure to find GCD of 359, 783, 993, 788 on our page.

3. How to find GCD of 359, 783, 993, 788 on a calculator?

You can find the GCD of 359, 783, 993, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.