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GCD of 850, 580, 686 Calculator

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


Online GCD Calculator is useful to find the GCD of 850, 580, 686 quickly. Get the easiest ways to solve the greatest common divisor of 850, 580, 686 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 850, 580, 686 with Factoring?

Given Input numbers are 850, 580, 686

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686


GCD of numbers is the greatest common divisor

So, the GCD (850, 580, 686) = 2.

Find GCD of 850, 580, 686 using Prime Factorization

Given numbers are 850, 580, 686

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 850, 580, 686 is 2.

Steps to Calculate GCD of 850, 580, 686 using LCM Formula

Given numbers are 850, 580, 686

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

Apply this formula for all numbers.

Step1:

LCM(850, 580) = 49300

GCD(850, 580) = ( 850 x 580 ) / 49300

= 850 / 580

= 850


Step2:

LCM(10, 686) = 3430

GCD(10, 686) = ( 10 x 686 ) / 3430

= 10 / 686

= 10


So, Greatest Common Divisor of 850, 580, 686 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 850, 580, 686

Given numbers are 850, 580, 686
The greatest common divisor of numbers 850, 580, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 580, 686 is 2.

FAQs on GCD of 850, 580, 686 Calculator

1. What is the GCD of 850, 580, 686?

GCD of given numbers 850, 580, 686 is 2


2. How to calculate the greatest common divisor of 850, 580, 686?

We can find the highest common divisor of 850, 580, 686 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 850, 580, 686 i.e 2.


3. How can I use the GCD of 850, 580, 686Calculator?

Out the numbers 850, 580, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.