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GCD of 820, 665, 886, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 665, 886, 360 quickly. Get the easiest ways to solve the greatest common divisor of 820, 665, 886, 360 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 665, 886, 360 with Factoring?

Given Input numbers are 820, 665, 886, 360

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 665 :

The positive integer divisors of 665 that completely divides 665 are.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (820, 665, 886, 360) = 1.

Find GCD of 820, 665, 886, 360 using Prime Factorization

Given numbers are 820, 665, 886, 360

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 665 are 5 x 7 x 19

Prime factors of 886 are 2 x 443

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 820, 665, 886, 360 using LCM Formula

Given numbers are 820, 665, 886, 360

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

Apply this formula for all numbers.

Step1:

LCM(820, 665) = 109060

GCD(820, 665) = ( 820 x 665 ) / 109060

= 820 / 665

= 820


Step2:

LCM(5, 886) = 4430

GCD(5, 886) = ( 5 x 886 ) / 4430

= 5 / 886

= 5


Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1


So, Greatest Common Divisor of 820, 665, 886, 360 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 665, 886, 360

Given numbers are 820, 665, 886, 360
The greatest common divisor of numbers 820, 665, 886, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 665, 886, 360 is 1.

FAQs on GCD of 820, 665, 886, 360 Calculator

1. What is the GCD of 820, 665, 886, 360?

GCD of given numbers 820, 665, 886, 360 is 1


2. How to calculate the greatest common divisor of 820, 665, 886, 360?

We can find the highest common divisor of 820, 665, 886, 360 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 820, 665, 886, 360 i.e 1.


3. How can I use the GCD of 820, 665, 886, 360Calculator?

Out the numbers 820, 665, 886, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.