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GCD of 689, 520, 170, 165 Calculator

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


Online GCD Calculator is useful to find the GCD of 689, 520, 170, 165 quickly. Get the easiest ways to solve the greatest common divisor of 689, 520, 170, 165 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 520, 170, 165 with Factoring?

Given Input numbers are 689, 520, 170, 165

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165


GCD of numbers is the greatest common divisor

So, the GCD (689, 520, 170, 165) = 1.

Find GCD of 689, 520, 170, 165 using Prime Factorization

Given numbers are 689, 520, 170, 165

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 170 are 2 x 5 x 17

Prime factors of 165 are 3 x 5 x 11

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

Steps to Calculate GCD of 689, 520, 170, 165 using LCM Formula

Given numbers are 689, 520, 170, 165

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

Apply this formula for all numbers.

Step1:

LCM(689, 520) = 27560

GCD(689, 520) = ( 689 x 520 ) / 27560

= 689 / 520

= 689


Step2:

LCM(13, 170) = 2210

GCD(13, 170) = ( 13 x 170 ) / 2210

= 13 / 170

= 13


Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


So, Greatest Common Divisor of 689, 520, 170, 165 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 520, 170, 165

Given numbers are 689, 520, 170, 165
The greatest common divisor of numbers 689, 520, 170, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 520, 170, 165 is 1.

FAQs on GCD of 689, 520, 170, 165 Calculator

1. What is the GCD of 689, 520, 170, 165?

GCD of given numbers 689, 520, 170, 165 is 1


2. How to calculate the greatest common divisor of 689, 520, 170, 165?

We can find the highest common divisor of 689, 520, 170, 165 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 689, 520, 170, 165 i.e 1.


3. How can I use the GCD of 689, 520, 170, 165Calculator?

Out the numbers 689, 520, 170, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.