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GCD of 685, 649, 826 Calculator

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


Online GCD Calculator is useful to find the GCD of 685, 649, 826 quickly. Get the easiest ways to solve the greatest common divisor of 685, 649, 826 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 685, 649, 826 with Factoring?

Given Input numbers are 685, 649, 826

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

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 826 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (685, 649, 826) = 1.

Find GCD of 685, 649, 826 using Prime Factorization

Given numbers are 685, 649, 826

The list of prime factors of all numbers are

Prime factors of 685 are 5 x 137

Prime factors of 649 are 11 x 59

Prime factors of 826 are 2 x 7 x 59

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

Steps to Calculate GCD of 685, 649, 826 using LCM Formula

Given numbers are 685, 649, 826

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

Apply this formula for all numbers.

Step1:

LCM(685, 649) = 444565

GCD(685, 649) = ( 685 x 649 ) / 444565

= 685 / 649

= 685


Step2:

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

= 1 / 826

= 1


So, Greatest Common Divisor of 685, 649, 826 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 685, 649, 826

Given numbers are 685, 649, 826
The greatest common divisor of numbers 685, 649, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 649, 826 is 1.

FAQs on GCD of 685, 649, 826 Calculator

1. What is the GCD of 685, 649, 826?

GCD of given numbers 685, 649, 826 is 1


2. How to calculate the greatest common divisor of 685, 649, 826?

We can find the highest common divisor of 685, 649, 826 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 685, 649, 826 i.e 1.


3. How can I use the GCD of 685, 649, 826Calculator?

Out the numbers 685, 649, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.