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GCD of 782, 391, 999, 427 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 782, 391, 999, 427 quickly. Get the easiest ways to solve the greatest common divisor of 782, 391, 999, 427 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 782, 391, 999, 427 with Factoring?

Given Input numbers are 782, 391, 999, 427

In the factoring method, we have to find the divisors of all numbers

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427


GCD of numbers is the greatest common divisor

So, the GCD (782, 391, 999, 427) = 1.

Find GCD of 782, 391, 999, 427 using Prime Factorization

Given numbers are 782, 391, 999, 427

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 391 are 17 x 23

Prime factors of 999 are 3 x 3 x 3 x 37

Prime factors of 427 are 7 x 61

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 782, 391, 999, 427 using LCM Formula

Given numbers are 782, 391, 999, 427

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(782, 391) = 782

GCD(782, 391) = ( 782 x 391 ) / 782

= 782 / 391

= 782


Step2:

LCM(391, 999) = 390609

GCD(391, 999) = ( 391 x 999 ) / 390609

= 391 / 999

= 391


Step3:

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

= 1 / 427

= 1


So, Greatest Common Divisor of 782, 391, 999, 427 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 782, 391, 999, 427

Given numbers are 782, 391, 999, 427
The greatest common divisor of numbers 782, 391, 999, 427 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 391, 999, 427 is 1.

FAQs on GCD of 782, 391, 999, 427 Calculator

1. What is the GCD of 782, 391, 999, 427?

GCD of given numbers 782, 391, 999, 427 is 1


2. How to calculate the greatest common divisor of 782, 391, 999, 427?

We can find the highest common divisor of 782, 391, 999, 427 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 782, 391, 999, 427 i.e 1.


3. How can I use the GCD of 782, 391, 999, 427Calculator?

Out the numbers 782, 391, 999, 427 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.