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GCD of 682, 155, 586, 825 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 155, 586, 825 quickly. Get the easiest ways to solve the greatest common divisor of 682, 155, 586, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 155, 586, 825 with Factoring?

Given Input numbers are 682, 155, 586, 825

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 155 :

The positive integer divisors of 155 that completely divides 155 are.

1, 5, 31, 155

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825


GCD of numbers is the greatest common divisor

So, the GCD (682, 155, 586, 825) = 1.

Find GCD of 682, 155, 586, 825 using Prime Factorization

Given numbers are 682, 155, 586, 825

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 155 are 5 x 31

Prime factors of 586 are 2 x 293

Prime factors of 825 are 3 x 5 x 5 x 11

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

Steps to Calculate GCD of 682, 155, 586, 825 using LCM Formula

Given numbers are 682, 155, 586, 825

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

Apply this formula for all numbers.

Step1:

LCM(682, 155) = 3410

GCD(682, 155) = ( 682 x 155 ) / 3410

= 682 / 155

= 682


Step2:

LCM(31, 586) = 18166

GCD(31, 586) = ( 31 x 586 ) / 18166

= 31 / 586

= 31


Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


So, Greatest Common Divisor of 682, 155, 586, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 155, 586, 825

Given numbers are 682, 155, 586, 825
The greatest common divisor of numbers 682, 155, 586, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 155, 586, 825 is 1.

FAQs on GCD of 682, 155, 586, 825 Calculator

1. What is the GCD of 682, 155, 586, 825?

GCD of given numbers 682, 155, 586, 825 is 1


2. How to calculate the greatest common divisor of 682, 155, 586, 825?

We can find the highest common divisor of 682, 155, 586, 825 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 682, 155, 586, 825 i.e 1.


3. How can I use the GCD of 682, 155, 586, 825Calculator?

Out the numbers 682, 155, 586, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.