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GCD of 704, 694, 849, 699 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, 694, 849, 699 quickly. Get the easiest ways to solve the greatest common divisor of 704, 694, 849, 699 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 694, 849, 699 with Factoring?

Given Input numbers are 704, 694, 849, 699

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699


GCD of numbers is the greatest common divisor

So, the GCD (704, 694, 849, 699) = 1.

Find GCD of 704, 694, 849, 699 using Prime Factorization

Given numbers are 704, 694, 849, 699

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 694 are 2 x 347

Prime factors of 849 are 3 x 283

Prime factors of 699 are 3 x 233

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

Steps to Calculate GCD of 704, 694, 849, 699 using LCM Formula

Given numbers are 704, 694, 849, 699

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

Apply this formula for all numbers.

Step1:

LCM(704, 694) = 244288

GCD(704, 694) = ( 704 x 694 ) / 244288

= 704 / 694

= 704


Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2


Step3:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


So, Greatest Common Divisor of 704, 694, 849, 699 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 694, 849, 699

Given numbers are 704, 694, 849, 699
The greatest common divisor of numbers 704, 694, 849, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 694, 849, 699 is 1.

FAQs on GCD of 704, 694, 849, 699 Calculator

1. What is the GCD of 704, 694, 849, 699?

GCD of given numbers 704, 694, 849, 699 is 1


2. How to calculate the greatest common divisor of 704, 694, 849, 699?

We can find the highest common divisor of 704, 694, 849, 699 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, 694, 849, 699 i.e 1.


3. How can I use the GCD of 704, 694, 849, 699Calculator?

Out the numbers 704, 694, 849, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.