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GCD of 704, 664, 802 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, 664, 802 quickly. Get the easiest ways to solve the greatest common divisor of 704, 664, 802 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 704, 664, 802 with Factoring?

Given Input numbers are 704, 664, 802

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802


GCD of numbers is the greatest common divisor

So, the GCD (704, 664, 802) = 2.

Find GCD of 704, 664, 802 using Prime Factorization

Given numbers are 704, 664, 802

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 664 are 2 x 2 x 2 x 83

Prime factors of 802 are 2 x 401

The highest common occurrence is 21

Therefore, GCD of 704, 664, 802 is 2.

Steps to Calculate GCD of 704, 664, 802 using LCM Formula

Given numbers are 704, 664, 802

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

Apply this formula for all numbers.

Step1:

LCM(704, 664) = 58432

GCD(704, 664) = ( 704 x 664 ) / 58432

= 704 / 664

= 704


Step2:

LCM(8, 802) = 3208

GCD(8, 802) = ( 8 x 802 ) / 3208

= 8 / 802

= 8


So, Greatest Common Divisor of 704, 664, 802 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 704, 664, 802

Given numbers are 704, 664, 802
The greatest common divisor of numbers 704, 664, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 664, 802 is 2.

FAQs on GCD of 704, 664, 802 Calculator

1. What is the GCD of 704, 664, 802?

GCD of given numbers 704, 664, 802 is 2


2. How to calculate the greatest common divisor of 704, 664, 802?

We can find the highest common divisor of 704, 664, 802 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, 664, 802 i.e 2.


3. How can I use the GCD of 704, 664, 802Calculator?

Out the numbers 704, 664, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.