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GCD of 704, 297, 424, 994 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, 297, 424, 994 quickly. Get the easiest ways to solve the greatest common divisor of 704, 297, 424, 994 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 297, 424, 994 with Factoring?

Given Input numbers are 704, 297, 424, 994

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994


GCD of numbers is the greatest common divisor

So, the GCD (704, 297, 424, 994) = 1.

Find GCD of 704, 297, 424, 994 using Prime Factorization

Given numbers are 704, 297, 424, 994

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 297 are 3 x 3 x 3 x 11

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 994 are 2 x 7 x 71

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

Steps to Calculate GCD of 704, 297, 424, 994 using LCM Formula

Given numbers are 704, 297, 424, 994

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

Apply this formula for all numbers.

Step1:

LCM(704, 297) = 19008

GCD(704, 297) = ( 704 x 297 ) / 19008

= 704 / 297

= 704


Step2:

LCM(11, 424) = 4664

GCD(11, 424) = ( 11 x 424 ) / 4664

= 11 / 424

= 11


Step3:

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

= 1 / 994

= 1


So, Greatest Common Divisor of 704, 297, 424, 994 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 297, 424, 994

Given numbers are 704, 297, 424, 994
The greatest common divisor of numbers 704, 297, 424, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 297, 424, 994 is 1.

FAQs on GCD of 704, 297, 424, 994 Calculator

1. What is the GCD of 704, 297, 424, 994?

GCD of given numbers 704, 297, 424, 994 is 1


2. How to calculate the greatest common divisor of 704, 297, 424, 994?

We can find the highest common divisor of 704, 297, 424, 994 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, 297, 424, 994 i.e 1.


3. How can I use the GCD of 704, 297, 424, 994Calculator?

Out the numbers 704, 297, 424, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.