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GCD of 710, 826, 704 Calculator

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


Online GCD Calculator is useful to find the GCD of 710, 826, 704 quickly. Get the easiest ways to solve the greatest common divisor of 710, 826, 704 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 710, 826, 704 with Factoring?

Given Input numbers are 710, 826, 704

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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


GCD of numbers is the greatest common divisor

So, the GCD (710, 826, 704) = 2.

Find GCD of 710, 826, 704 using Prime Factorization

Given numbers are 710, 826, 704

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 826 are 2 x 7 x 59

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

The highest common occurrence is 21

Therefore, GCD of 710, 826, 704 is 2.

Steps to Calculate GCD of 710, 826, 704 using LCM Formula

Given numbers are 710, 826, 704

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

Apply this formula for all numbers.

Step1:

LCM(710, 826) = 293230

GCD(710, 826) = ( 710 x 826 ) / 293230

= 710 / 826

= 710


Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2


So, Greatest Common Divisor of 710, 826, 704 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 710, 826, 704

Given numbers are 710, 826, 704
The greatest common divisor of numbers 710, 826, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 826, 704 is 2.

FAQs on GCD of 710, 826, 704 Calculator

1. What is the GCD of 710, 826, 704?

GCD of given numbers 710, 826, 704 is 2


2. How to calculate the greatest common divisor of 710, 826, 704?

We can find the highest common divisor of 710, 826, 704 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 710, 826, 704 i.e 2.


3. How can I use the GCD of 710, 826, 704Calculator?

Out the numbers 710, 826, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.