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GCD of 431, 353, 27, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 431, 353, 27, 772 quickly. Get the easiest ways to solve the greatest common divisor of 431, 353, 27, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 431, 353, 27, 772 with Factoring?

Given Input numbers are 431, 353, 27, 772

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 27 :

The positive integer divisors of 27 that completely divides 27 are.

1, 3, 9, 27

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (431, 353, 27, 772) = 1.

Find GCD of 431, 353, 27, 772 using Prime Factorization

Given numbers are 431, 353, 27, 772

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 353 are 353

Prime factors of 27 are 3 x 3 x 3

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 431, 353, 27, 772 using LCM Formula

Given numbers are 431, 353, 27, 772

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

Apply this formula for all numbers.

Step1:

LCM(431, 353) = 152143

GCD(431, 353) = ( 431 x 353 ) / 152143

= 431 / 353

= 431


Step2:

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

= 1 / 27

= 1


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 431, 353, 27, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 431, 353, 27, 772

Given numbers are 431, 353, 27, 772
The greatest common divisor of numbers 431, 353, 27, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 353, 27, 772 is 1.

FAQs on GCD of 431, 353, 27, 772 Calculator

1. What is the GCD of 431, 353, 27, 772?

GCD of given numbers 431, 353, 27, 772 is 1


2. How to calculate the greatest common divisor of 431, 353, 27, 772?

We can find the highest common divisor of 431, 353, 27, 772 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 431, 353, 27, 772 i.e 1.


3. How can I use the GCD of 431, 353, 27, 772Calculator?

Out the numbers 431, 353, 27, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.