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GCD of 772, 431, 320, 284 Calculator

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


Online GCD Calculator is useful to find the GCD of 772, 431, 320, 284 quickly. Get the easiest ways to solve the greatest common divisor of 772, 431, 320, 284 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 772, 431, 320, 284 with Factoring?

Given Input numbers are 772, 431, 320, 284

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

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 431 :

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

1, 431

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284


GCD of numbers is the greatest common divisor

So, the GCD (772, 431, 320, 284) = 1.

Find GCD of 772, 431, 320, 284 using Prime Factorization

Given numbers are 772, 431, 320, 284

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 431 are 431

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 284 are 2 x 2 x 71

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

Steps to Calculate GCD of 772, 431, 320, 284 using LCM Formula

Given numbers are 772, 431, 320, 284

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

Apply this formula for all numbers.

Step1:

LCM(772, 431) = 332732

GCD(772, 431) = ( 772 x 431 ) / 332732

= 772 / 431

= 772


Step2:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1


So, Greatest Common Divisor of 772, 431, 320, 284 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 772, 431, 320, 284

Given numbers are 772, 431, 320, 284
The greatest common divisor of numbers 772, 431, 320, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 431, 320, 284 is 1.

FAQs on GCD of 772, 431, 320, 284 Calculator

1. What is the GCD of 772, 431, 320, 284?

GCD of given numbers 772, 431, 320, 284 is 1


2. How to calculate the greatest common divisor of 772, 431, 320, 284?

We can find the highest common divisor of 772, 431, 320, 284 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 772, 431, 320, 284 i.e 1.


3. How can I use the GCD of 772, 431, 320, 284Calculator?

Out the numbers 772, 431, 320, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.