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GCD of 704, 395, 304, 282 Calculator

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


Online GCD Calculator is useful to find the GCD of 704, 395, 304, 282 quickly. Get the easiest ways to solve the greatest common divisor of 704, 395, 304, 282 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 395, 304, 282 with Factoring?

Given Input numbers are 704, 395, 304, 282

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282


GCD of numbers is the greatest common divisor

So, the GCD (704, 395, 304, 282) = 1.

Find GCD of 704, 395, 304, 282 using Prime Factorization

Given numbers are 704, 395, 304, 282

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 395 are 5 x 79

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 282 are 2 x 3 x 47

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

Steps to Calculate GCD of 704, 395, 304, 282 using LCM Formula

Given numbers are 704, 395, 304, 282

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

Apply this formula for all numbers.

Step1:

LCM(704, 395) = 278080

GCD(704, 395) = ( 704 x 395 ) / 278080

= 704 / 395

= 704


Step2:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1


Step3:

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

= 1 / 282

= 1


So, Greatest Common Divisor of 704, 395, 304, 282 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 395, 304, 282

Given numbers are 704, 395, 304, 282
The greatest common divisor of numbers 704, 395, 304, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 395, 304, 282 is 1.

FAQs on GCD of 704, 395, 304, 282 Calculator

1. What is the GCD of 704, 395, 304, 282?

GCD of given numbers 704, 395, 304, 282 is 1


2. How to calculate the greatest common divisor of 704, 395, 304, 282?

We can find the highest common divisor of 704, 395, 304, 282 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 704, 395, 304, 282 i.e 1.


3. How can I use the GCD of 704, 395, 304, 282Calculator?

Out the numbers 704, 395, 304, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.