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GCD of 704, 690, 235, 768 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, 690, 235, 768 quickly. Get the easiest ways to solve the greatest common divisor of 704, 690, 235, 768 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 690, 235, 768 with Factoring?

Given Input numbers are 704, 690, 235, 768

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (704, 690, 235, 768) = 1.

Find GCD of 704, 690, 235, 768 using Prime Factorization

Given numbers are 704, 690, 235, 768

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 690 are 2 x 3 x 5 x 23

Prime factors of 235 are 5 x 47

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 704, 690, 235, 768 using LCM Formula

Given numbers are 704, 690, 235, 768

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

Apply this formula for all numbers.

Step1:

LCM(704, 690) = 242880

GCD(704, 690) = ( 704 x 690 ) / 242880

= 704 / 690

= 704


Step2:

LCM(2, 235) = 470

GCD(2, 235) = ( 2 x 235 ) / 470

= 2 / 235

= 2


Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1


So, Greatest Common Divisor of 704, 690, 235, 768 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 690, 235, 768

Given numbers are 704, 690, 235, 768
The greatest common divisor of numbers 704, 690, 235, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 690, 235, 768 is 1.

FAQs on GCD of 704, 690, 235, 768 Calculator

1. What is the GCD of 704, 690, 235, 768?

GCD of given numbers 704, 690, 235, 768 is 1


2. How to calculate the greatest common divisor of 704, 690, 235, 768?

We can find the highest common divisor of 704, 690, 235, 768 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, 690, 235, 768 i.e 1.


3. How can I use the GCD of 704, 690, 235, 768Calculator?

Out the numbers 704, 690, 235, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.