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GCD of 829, 164, 660, 320 Calculator

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


Online GCD Calculator is useful to find the GCD of 829, 164, 660, 320 quickly. Get the easiest ways to solve the greatest common divisor of 829, 164, 660, 320 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 164, 660, 320 with Factoring?

Given Input numbers are 829, 164, 660, 320

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320


GCD of numbers is the greatest common divisor

So, the GCD (829, 164, 660, 320) = 1.

Find GCD of 829, 164, 660, 320 using Prime Factorization

Given numbers are 829, 164, 660, 320

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 164 are 2 x 2 x 41

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Steps to Calculate GCD of 829, 164, 660, 320 using LCM Formula

Given numbers are 829, 164, 660, 320

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

Apply this formula for all numbers.

Step1:

LCM(829, 164) = 135956

GCD(829, 164) = ( 829 x 164 ) / 135956

= 829 / 164

= 829


Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1


Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


So, Greatest Common Divisor of 829, 164, 660, 320 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 829, 164, 660, 320

Given numbers are 829, 164, 660, 320
The greatest common divisor of numbers 829, 164, 660, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 164, 660, 320 is 1.

FAQs on GCD of 829, 164, 660, 320 Calculator

1. What is the GCD of 829, 164, 660, 320?

GCD of given numbers 829, 164, 660, 320 is 1


2. How to calculate the greatest common divisor of 829, 164, 660, 320?

We can find the highest common divisor of 829, 164, 660, 320 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 829, 164, 660, 320 i.e 1.


3. How can I use the GCD of 829, 164, 660, 320Calculator?

Out the numbers 829, 164, 660, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.