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GCD of 816, 580, 392, 169 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 580, 392, 169 quickly. Get the easiest ways to solve the greatest common divisor of 816, 580, 392, 169 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 580, 392, 169 with Factoring?

Given Input numbers are 816, 580, 392, 169

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169


GCD of numbers is the greatest common divisor

So, the GCD (816, 580, 392, 169) = 1.

Find GCD of 816, 580, 392, 169 using Prime Factorization

Given numbers are 816, 580, 392, 169

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 169 are 13 x 13

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

Steps to Calculate GCD of 816, 580, 392, 169 using LCM Formula

Given numbers are 816, 580, 392, 169

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

Apply this formula for all numbers.

Step1:

LCM(816, 580) = 118320

GCD(816, 580) = ( 816 x 580 ) / 118320

= 816 / 580

= 816


Step2:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4


Step3:

LCM(4, 169) = 676

GCD(4, 169) = ( 4 x 169 ) / 676

= 4 / 169

= 4


So, Greatest Common Divisor of 816, 580, 392, 169 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 580, 392, 169

Given numbers are 816, 580, 392, 169
The greatest common divisor of numbers 816, 580, 392, 169 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 580, 392, 169 is 1.

FAQs on GCD of 816, 580, 392, 169 Calculator

1. What is the GCD of 816, 580, 392, 169?

GCD of given numbers 816, 580, 392, 169 is 1


2. How to calculate the greatest common divisor of 816, 580, 392, 169?

We can find the highest common divisor of 816, 580, 392, 169 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 816, 580, 392, 169 i.e 1.


3. How can I use the GCD of 816, 580, 392, 169Calculator?

Out the numbers 816, 580, 392, 169 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.